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Pedro Abelardo García Sánchez

Surname(s): García SánchezName: Pedro AbelardoDNI: 24245401CDate of birth: 18/09/1969Gender: MaleNationality: SpainCountry of birth: SpainAut. region/reg. of birth: AndalusiaContact province: GranadaCity of birth: GranadaContact address: Departamento de Álgebra, Facultad de Ciencias, Universidad de

GranadaPostcode: 18071Contact country: SpainContact aut. region/reg.: AndalusiaContact city: GranadaLand line phone: (+34) 958243375Email: [email protected] phone: (+34) 607378730Personal web page: www.ugr.es/local/pedro

Current professional situation

Employing entity: UNIVERSIDAD DEGRANADA

Type of entity: University

Department: Facultad de CienciasProfessional category: Profesor Titular deUniversidad

Educational Management (Yes/No): Yes

City employing entity: Granada, Andalusia, SpainPhone: (+34) 958243375 Email: [email protected] date: 10/1999Type of contract: Civil servant Dedication regime: Full timePrimary (UNESCO code): 120100 - AlgebraSecondary (UNESCO code): 120503 - Diophantine problemsTertiary (UNESCO code): 120105 - Fields, rings, algebra; 120106 - Groups, generalizationsIdentify key words: AlgebraField of management activity: University

Previous positions and activities

Employing entity Professional category Start dateUniversidad de Granada Profesor asociado 10/1992

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Employing entity: Universidad de Granada Type of entity: UniversityProfessional category: Profesor asociadoStart-End date: 10/1992 - 03/1999

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Education

University education

1st and 2nd cycle studies and pre-Bologna degrees

1 University degree: Higher degreeName of qualification: Licenciado en Matemáticas Especialidad Matemática PuraDegree awarding entity: Universidad de Granada Type of entity: UniversityDate of qualification: 1992Average mark: Excellent

2 University degree: Middle degreeName of qualification: Diplomado en InformáticaDegree awarding entity: Universidad de GranadaDate of qualification: 1992

Doctorates

Doctorate programme: MatemáticasDegree awarding entity: UNIVERSIDAD DE GRANADA. ALGEBRADate of degree: 1996Thesis title: SEMIGRUPOS AFINESThesis director: Rosales-Gonzalez, Jose CarlosObtained qualification: SOBRESALIENTE CUM LAUDE

Language skills

Language Listening skills Reading skills Spoken interaction Speaking skills Writing skillsPortuguese C1 B1 B1 B1French C1 C1 C1 B1Spanish C1 C1 C1 C1English C1 C1 C1 C1

Teaching experience

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Experience supervising doctoral thesis and/or final year projects

1 Project title: Invariantes de factorización no únicaType of project: Minor thesisEntity: Universidad de Granada Type of entity: UniversityStudent: Inmaculada Serrano GarcíaDate of reading: 07/07/2015

2 Project title: Programación lineal enteraType of project: Minor thesisEntity: Universidad de Granada Type of entity: UniversityStudent: Manuel Moreno PizarroDate of reading: 07/07/2015

3 Project title: Linear Diophantine equations and applicationsType of project: Doctoral thesisCo-director of thesis: Pedro A García SánchezEntity: Universidad de Cádiz Type of entity: UniversityStudent: Alfredo Sánchez-Roselly NavarroObtained qualification: Sobresaliente cum laudeDate of reading: 03/07/2015

4 Project title: Cyclotomic polynomials and numerical semigroupsEntity: Jacobs University Bremen Type of entity: UniversityStudent: Emil-Alexandru CiolanDate of reading: 22/05/2014

5 Project title: Homogenization of embedding dimension three numerical semigroupsType of project: Work leading to an ASDCo-director of thesis: Aureliano M. Robles PérezEntity: Universidad de Granada Type of entity: UniversityStudent: Seham Abdelnaby TahaObtained qualification: SobresalienteDate of reading: 12/07/2013

6 Project title: SUBSEMIGRUPOS DE MONOIDES CONMUTATIVOS FINITAMENTE GENERADOSType of project: Doctoral thesisEntity: UNIVERSIDAD DE GRANADA. ALGEBRAStudent: JUAN IGNACIO GARCÍA GARCÍAObtained qualification: SOBRESALIENTE CUM LAUDEDate of reading: 2001

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Educational or pedagogical publications, books, articles, etc.

1 MARÍA JOSE BURGOS NAVARRO; Jesús García Miranda; Pedro A. García Sánchez; José Carlos Rosales.Matemática Discreta y Álgebra Lineal. Available on-line at: <http://www.ugr.es/~pedro/mdal/mdal.pdf>.Name of the materials: Matemática Discreta y Álgebra LinealTarget group profile: Notas del curso del mismo nombre para el Grado en Informática de la Universidad deAlmería. Con prácticas en maxima.Date of drafting: 01/07/2011

2 Pedro A. García Sánchez; JOSE CARLOS ROSALES GONZALEZ. Notas de Álgebra Lineal y EstructurasMatemáticas. Available on-line at: <http://www.ugr.es/~pedro/alem/guion.pdf>.Name of the materials: Notas de Álgebra Lineal y Estructuras MatemáticasTarget group profile: Notas de Álgebra Lineal y Estructuras Matemáticas, correspondientes a la asignatura con elmismo título del Grado de Informática de la Universidad de Granada; con prácticas de ordenador en maxima.Date of drafting: 01/07/2011

3 Manuel Bullejos Lorenzo; Pilar Carrasco Carrasco; Pedro A. García García; Antonio Martínez Cegarra; AntonioRodríguez Garzón. Álgebra Básica OCW. Available on-line at: <http://ocw.ugr.es/course/view.php?id=23>.Name of the materials: Álgebra BásicaTarget group profile: Apuntes de Álgebra Básica con autoevaluación y actividades complementarias. Guiones enGAP y Mathematica.Date of drafting: 01/06/2009Format: Notes

4 JESÚS GARCÍA MIRANDA; Pedro A. García Sánchez; José Carlos Rosales. Matemática discreta OCW. Availableon-line at: <http://ocw.ugr.es/course/view.php?id=20>.Name of the materials: Matemática DiscretaTarget group profile: Apuntes en abierto de Matemática Discreta, con autoevaluación y actividadescomplementariasDate of drafting: 01/04/2009

5 JUAN IGNACIO GARCÍA GARCÍA; Pedro A. García Sánchez; Juan M. Urbano Blanco. Fundamentos Lógicos dela Programación. Available on-line at: <http://www.ugr.es/~pedro/flp/apuntes.pdf>. ISBN 84-688-6302-5Name of the materials: Fundamentos Lógicos de la ProgramaciónTarget group profile: Fundamentos lógicos de la programación: Lógica proposicional y de primer orden,Resolución, Demostración automática, PROLOGDate of drafting: 01/04/2004

6 María J. Burgos Navarro; José Carmona Tapia; Pedro Abelardo García Sánchez; Antonio Jiménez Vargas;Tommaso Leonori; Pedro Jesús Martínez Aparicio; Moisés Villegas Vallecillos. Recursos TIC en la docenciamatemática. Interactividad para la pizarra digital.. V Memoria de actividades sobre Innovación Docente ycoordinación en la Universidad de Almería.. pp. 225 - 227. Servidio de publicaciones. Universidad de Almería,Name of the materials: Recursos TIC en la docencia matemáticaFormat: Chapters of books

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Participation in innovative teaching projects

1 Project title: ORIENTAMAT 3, Orientación técnica y académica para alumnos de MatemáticasName of the main researcher: ANTONIA MARÍA DELGADO AMARONumber of participants: 12End date: 30/09/2013 Duration: 364 days

2 Project title: Orientación académica y profesional para alumnos de matemáticas mediante actividadespresenciales y experiencias personalesName of the main researcher: DESIRÉE ROMERO MOLINANumber of participants: 8End date: 22/08/2011 Duration: 272 days - 23 hours

3 Project title: Uso de la consola Playstation2 como herramienta de docencia de arquitectura de computadoresName of the main researcher: JESÚS GONZÁLEZ PEÑALVERNumber of participants: 6Amount awarded: 3.600End date: 30/09/2008 Duration: 1095 days

4 Project title: Orientamat: orientación académica y profesional para alumnos de matemáticasName of the main researcher: DESIRÉE ROMERO MOLINANumber of participants: 9

Scientific and technological experience

Scientific or technological activities

R&D projects funded through competitive calls of public or private entities

1 Name of the project: SEMIGRUPOS NUMERICOS Y AFINES; GENERALIZACIONES Y APLICACIONESType of project: Basic research (including archaeological digs, etc)Degree of contribution: Coordinator of total project, network or consortiumEntity where project took place: Universidad deGranada


Name principal investigator (PI, Co-PI....): Pedro A. García Sánchez; Aureliano M. Robles PérezNº of researchers: 6Code according to the funding entity: MTM2014-55367-PStart-End date: 01/01/2015 - 31/12/2017 Duration: 3 years

2 Name of the project: Nuevos Desafíos de la Matemática Combinatoria: Enfoques no Estándares enOptimización Discreta y Álgebra Computacional. AplicacionesGeographical area: RegionalDegree of contribution: ResearcherEntity where project took place: Universidad deSevilla


Name principal investigator (PI, Co-PI....): Justo Puerto

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Nº of researchers: 20Type of participation: OthersName of the programme: Proyectos excelencia Junta de AndalucíaCode according to the funding entity: P10-FQM-5849Start-End date: 15/03/2011 - 15/03/2015Total amount: 254.752

3 Name of the project: Métodos Algebraicos Aplicados a la Física, Geometría No Conmutativa yComputaciónGeographical area: RegionalDegree of contribution: ResearcherEntity where project took place: Universidad deGranada


Name principal investigator (PI, Co-PI....): José Gómez TorrecillasNº of researchers: 17Funding entity or bodies:Junta de Andalucía Type of entity: Gobierno regionalCity funding entity: Sevilla, Andalusia, Spain

Type of participation: OthersName of the programme: Proyectos excelencia Junta de AndalucíaCode according to the funding entity: P06-FQM-01889Start-End date: 01/04/2007 - 01/04/2010Total amount: 139.563,3

4 Name of the project: SEMIGRUPOS NUMÉRICOSGeographical area: NationalDegree of contribution: ResearcherEntity where project took place: Universidad deGranada


Name principal investigator (PI, Co-PI....): PEDRO ABELARDO GARCÍA SÁNCHEZNº of researchers: 6Funding entity or bodies:Ministerio de Ciencia e Innovación Type of entity: Body, others

Type of participation: Co-ordinatorName of the programme: OTROS PROGRAMAS DEL PLAN NACIONAL I+D, MINISTERIO DE CIENCIAY TECNOLOGÍACode according to the funding entity: MTM2010-15595Start date: 01/01/2011 Duration: 1460 daysTotal amount: 56.628Dedication regime: Full time

5 Name of the project: IBERIAN MEETING ON NUMERICAL SEMIGROUPS - GRANADA 2010Geographical area: NationalDegree of contribution: ResearcherEntity where project took place: Universidad deGranada


Name principal investigator (PI, Co-PI....): PEDRO ABELARDO GARCÍA SÁNCHEZNº of researchers: 5Type of participation: Co-ordinatorName of the programme: OTROS PROGRAMAS DEL PLAN NACIONAL I+D, MINISTERIO DE CIENCIAY TECNOLOGÍA

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Code according to the funding entity: MTM2009-07987-E/MTMStart date: 15/01/2010 Duration: 339 daysTotal amount: 4.000Dedication regime: Full time

6 Name of the project: SEMIGRUPOS NUMERICOSGeographical area: NationalDegree of contribution: ResearcherEntity where project took place: Universidad deGranada


Name principal investigator (PI, Co-PI....): JOSE CARLOS ROSALES GONZALEZNº of researchers: 5Name of the programme: OTROS PROGRAMAS DEL PLAN NACIONAL I+D, MINISTERIO DE CIENCIAY TECNOLOGÍACode according to the funding entity: MTM2007-62346Start date: 01/10/2007 Duration: 1095 daysTotal amount: 30.008

7 Name of the project: SEMIGRUPOS NUMERICOSGeographical area: NationalDegree of contribution: ResearcherEntity where project took place: Universidad deGranada


Name principal investigator (PI, Co-PI....): JOSE CARLOS ROSALES GONZALEZNº of researchers: 4Name of the programme: OTROS PROGRAMAS DEL PLAN NACIONAL I+D, MINISTERIO DE CIENCIAY TECNOLOGÍACode according to the funding entity: MTM2004-01446Start date: 13/12/2004 Duration: 1095 daysTotal amount: 33.120

8 Name of the project: Semigrupos commutativosGeographical area: RegionalDegree of contribution: ResearcherEntity where project took place: Universidad deGranada


Name principal investigator (PI, Co-PI....): José Carlos RosalesNº of researchers: 5Funding entity or bodies:Junta de Andalucía Type of entity: Gobierno regionalCity funding entity: Sevilla, Andalusia, Spain

Type of participation: OthersName of the programme: Grupos de Investigación de la Junta de AndalucíaCode according to the funding entity: FQM-343Start date: 01/01/2004

9 Name of the project: SEMIGRUPOS CONMUTATIVOSGeographical area: NationalDegree of contribution: ResearcherEntity where project took place: Universidad deGranada


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Name principal investigator (PI, Co-PI....): JOSE CARLOS ROSALES GONZALEZNº of researchers: 3Name of the programme: OTROS PROGRAMAS DEL PLAN NACIONAL I+D, MINISTERIO DE CIENCIAY TECNOLOGÍACode according to the funding entity: BFM2000-1469Start date: 20/12/2000 Duration: 1095 daysTotal amount: 16.962,97

10 Name of the project: Evolución metamórfica y trayectorias P-T-T de terrenos acrecionados (Cuba Central)Geographical area: NationalDegree of contribution: ResearcherEntity where project took place: Universidad deGranada


Name principal investigator (PI, Co-PI....): Antonoi García CascoNº of researchers: 2Name of the programme: OTROS PROGRAMAS DEL PLAN NACIONAL I+D, MINISTERIO DE CIENCIAY TECNOLOGÍACode according to the funding entity: PB96-1424Start date: 01/12/1997 Duration: 1096 daysTotal amount: 5.409,11

11 Name of the project: SEMIGRUPOS CONMUTATIVOS FINITAMENTE GENERADOSGeographical area: NationalDegree of contribution: ResearcherEntity where project took place: Universidad deGranada


Name principal investigator (PI, Co-PI....): JOSE CARLOS ROSALES GONZALEZNº of researchers: 2Name of the programme: OTROS PROGRAMAS DEL PLAN NACIONAL I+D, MINISTERIO DE CIENCIAY TECNOLOGÍACode according to the funding entity: PB96-1424Start date: 01/12/1997 Duration: 1096 daysTotal amount: 5.409,11

R&D non-competitive contracts, agreements or projects with public or private entities

Name of the project: Desarrollo de algoritmo temporal ponderadoGeographical area: RegionalDegree of contribution: ResearcherName principal investigator (PI, Co-PI....): MANUEL BULLEJOS LORENZONº of researchers: 6Start date: 01/09/2010 Duration: 272 daysTotal amount: 44.250Relevant results: Contrato con la empresa Nevatec Informática SL para el desarrollo de algoritmos delocalización

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Scientific and technological activities

Scientific production

Publications, scientific and technical documents

1 Scott T. Chapman; Pedro A. García Sánchez; Z. Tripp; Caterina Viola. Measuring primality in numericalsemigroups with embedding dimension three. J. Algebra Appl. 15, pp. 1650007. 2016.Type of production: Scientific paper Format: JournalImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.446 Journal in the top 25%: No

2 Francisco Aguiló Gost; Pedro A. García Sánchez; David Llena. On the number of L-shapes in embeddingdimension four numerical semigroups. Discrete Math. 338, pp. 2168 - 2178. Elsevier, 2015. Available on-line at:<http://www.journals.elsevier.com/discrete-mathematics/>. ISSN 0012-365XType of production: Scientific paper Format: JournalCorresponding author: NoImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.557 Journal in the top 25%: No

3 J. I. Farrán; Pedro A. García Sánchez. The second Feng-Rao number for codes coming from inductivesemigroups. IEEE Transactions of Information Theory. 61, pp. 4938 - 4947. IEEE, 2015.Type of production: Scientific paper Format: JournalImpact source: ISI Category: Science Edition - COMPUTER SCIENCE,

INFORMATION SYSTEMSImpact index in year of publication: 2.326 Journal in the top 25%: Yes

4 Pedro A García Sánchez; Caterina Viola. When the catenary degree agrees with the tame degree in numericalsemigroups of embedding dimension three. Involve. 71 - 1, pp. 77 - 96. (United States of America): Mathematicalsciences publishers, 2015. Available on-line at: <http://msp.org/involve/2014/7-1/p06.xhtml>. ISSN 1944-4184Type of production: Scientific paper Format: JournalCorresponding author: Yes

5 F. Aguiló-Gost; P.A. García-Sánchez; D. Llena. An algorithm to compute the primitive elements of an embeddingdimension three numerical semigroup. Electronic Notes Discrete Mathematics. 46C, pp. 185 - 192. Elsevier,14/09/2014. ISSN 1571-0653Type of production: Scientific paper Format: JournalImpact source: SCOPUS Category: Discrete Mathematics and CombinatoricsImpact index in year of publication: 0,433 Journal in the top 25%: NoPosition of publication: 32 No. of journals in the cat.: 46

6 F. Aguiló-Gost; P.A. García-Sánchez; D. Llena. Denumerants of 3-numerical semigroups. Electronic NotesDiscrete Mathematics. 46C, pp. 3 - 10. Elsevier, 14/09/2014. ISSN 1571-0653Type of production: Scientific paper Format: JournalImpact source: SCOPUS Category: Discrete Mathematics and Combinatorics

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Impact index in year of publication: 0,433 Journal in the top 25%: NoPosition of publication: 32 No. of journals in the cat.: 46

7 J. C. Rosales; Pedro A. García Sánchez. Constructing almost symmetric numerical semigroups from almostirreducible numerical semigroups. Communications in Algebra. 42, pp. 1362 - 1367. Taylor and Francis, 2014.Type of production: Scientific paper Format: JournalImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.356

Impact source: SCOPUS Category: Algebra and Number TheoryImpact index in year of publication: 0.548

8 Seham Abdelnaby Taha; Pedro A García Sánchez. Homogenization of a nonsymmetricembedding-dimension-three numerical semigroup. Involve. 71 - 1, pp. 77 - 96. (United States of America):Mathematical sciences publishers, 2014. Available on-line at: <http://msp.org/involve/2014/7-1/p06.xhtml>. ISSN1944-4184Type of production: Scientific paper Format: Journal

9 M. Delgado; J. I. Farrán; Pedro A. García Sánchez; D. Llena. On the weight hierarchy of codes coming fromsemigroups with two generators. IEEE Transactions of Information Theory. 60, pp. 282 - 295. 2014.Type of production: Scientific paper Format: JournalImpact source: ISI Category: Science Edition - COMPUTER SCIENCE,

INFORMATION SYSTEMSImpact index in year of publication: 2.621 Journal in the top 25%: Yes

10 PEDRO ABELARDO GARCÍA SÁNCHEZ; IGNACIO OJEDA MARTÍNEZ DE CASTILLA; JOSE CARLOSROSALES GONZALEZ. Affine semigroups having a unique Betti element. J ALGEBRA APPL. 12, pp. 1250177.2013. Available on-line at: <http://www.worldscientific.com/doi/abs/10.1142/S0219498812501770>.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.48 Journal in the top 25%: NoPosition of publication: 179 No. of journals in the cat.: 289

11 Assi, Abdallah; PEDRO ABELARDO GARCÍA SÁNCHEZ. Constructing the set of complete intersection numericalsemigroups with a given Frobenius number. Applicable algebra in engineering, communication and computing. 24 -2, pp. 133 - 148. 2013. Available on-line at: <http://link.springer.com/article/10.1007%2Fs00200-013-0186-z>.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICS, APPLIEDImpact index in year of publication: 0.6Position of publication: 156 No. of journals in the cat.: 245

12 PEDRO ABELARDO GARCÍA SÁNCHEZ; IGNACIO OJEDA MARTÍNEZ DE CASTILLA; ALFREDOSÁNCHEZ-ROSELLY NAVARRO. Factorization invariants in half-factorial affine semigroups.International Journal of Algebra and Computation. 23 - 1, pp. 111 - 122. 2013. Available on-line at:<http://www.worldscientific.com/doi/abs/10.1142/S0218196713500033>.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.45 Journal in the top 25%: NoPosition of publication: 187 No. of journals in the cat.: 289

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Impact source: SCOPUS Category: matheImpact index in year of publication: 0.669 Journal in the top 25%: NoPosition of publication: 148 No. of journals in the cat.: 352

13 PEDRO ABELARDO GARCÍA SÁNCHEZ; Leamer, Micah. Huneke-Wiegand Conjecture for completeintersection numerical semigroup rings. Journal of algebra (Print). 391, pp. 114 - 124. 2013. Available on-line at:<http://www.sciencedirect.com/science/article/pii/S0021869313003219>.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.58 Journal in the top 25%: NoPosition of publication: 143 No. of journals in the cat.: 295

Impact source: SCOPUS Category: Algebra and Number TheoryImpact index in year of publication: 1.129 Journal in the top 25%: YesPosition of publication: 9 No. of journals in the cat.: 66

14 Bras-amoros, Maria; PEDRO ABELARDO GARCÍA SÁNCHEZ; Vico-oton, Albert. Nonhomogeneous patterns onnumerical semigroups. International Journal of Algebra and Computation. 23, pp. 1469 - 1483. 2013. Availableon-line at: <http://www.worldscientific.com/doi/abs/10.1142/S0218196713500306?af=R>.Type of production: Scientific paperImpact source: ISI Category: MATHEMATICSImpact index in year of publication: 0.36 Journal in the top 25%: NoPosition of publication: 242 No. of journals in the cat.: 295

Impact source: SCOPUS Category: matheImpact index in year of publication: 0.669Position of publication: 148 No. of journals in the cat.: 352

15 Delgado, Manuel; PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALES GONZALEZ. Numericalsemigroups problem list. Centro internacional de matemática - Bulletin. 33, pp. 15 - 26. 2013. Available on-line at:<http://www.cim.pt/files/publications/b33.pdf>.Type of production: Scientific paper

16 Delgado, Manuel; PEDRO ABELARDO GARCÍA SÁNCHEZ; Farrán, José Ignacio;DAVID LLENA CARRASCO. On the generalized Feng-Rao numbers of numericalsemigroups generated by intervals. Mathematics of computation. 2013. Available on-line at:<http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2013-02673-7/>.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 1.31 Journal in the top 25%: YesPosition of publication: 46 No. of journals in the cat.: 245


17 MANUEL BULLEJOS LORENZO; PEDRO ABELARDO GARCÍA SÁNCHEZ. Minimal presentations for monoidswith the ascending chain condition on principal ideals. Semigroup Forum. 84, pp. 333 - 341. 2012. Available on-lineat: <http://www.springer.com/mathematics/algebra/journal/233>.Type of production: Scientific paper

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Impact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.73 Journal in the top 25%: NoPosition of publication: 86 No. of journals in the cat.: 288

18 Chapman, Scott T.; PEDRO ABELARDO GARCÍA SÁNCHEZ; DAVID LLENA CARRASCO; Malyshev, A.;Steinberg, D.On the delta set and the Betti elements of a BF-monoid. Arabian Journal of Mathematics. 1, pp. 53 -61. 2012. Available on-line at: <http://link.springer.com/article/10.1007%2Fs40065-012-0019-0>.Type of production: Scientific paper

19 VICTOR BLANCO; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUSTO PUERTO ALBANDOZ. COUNTINGNUMERICAL SEMIGROUPSWITH SHORT GENERATING FUNCTIONS. International journal of algebra andcomputation. 21 - 7, pp. 1217 - 1235. 2011. Available on-line at: <http://www.worldscinet.com/ijac/>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.453

20 Chapman, Scott; PEDRO ABELARDO GARCÍA SÁNCHEZ; DAVID LLENA CARRASCO; Marshall, J.Elementsin a numerical semigroup with factorizations with the same length. Canad. Math. Bull.54 - 1, pp. 39 - 43. 2011.Available on-line at: <http://math.ca/10.4153/CMB-2010-068-3>.Type of production: Scientific paper

21 VICTOR BLANCO; PEDRO ABELARDO GARCÍA SÁNCHEZ; Geroldinger, Alfred. Semigroup-theoreticalcharacterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. ILLINOISJOURNAL OF MATHEMATICS. 55, pp. 1385 - 1414. 2011.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.34

22 Aguiló-Gost,Francisco; PEDRO ABELARDO GARCÍA SÁNCHEZ. FACTORING IN EMBEDDINGDIMENSION THREE NUMERICAL SEMIGROUPS, THE ELECTRONIC JOURNAL OF COMBINATORICS17 (2010), #R138.The Electronic journal of combinatorics. 17 - #R138, pp. 1 - 21. 2010. Available on-line at:<http://www.combinatorics.org/volume_17/v17i1toc.html>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.626

23 PEDRO ABELARDO GARCÍA SÁNCHEZ. NON-UNIQUE FACTORIZATIONS. Semigroup forum. 80, pp. 346 -350. 2010. Available on-line at: <http://www.springerlink.com/content/j4266q662811w1kx/>.Type of production: Scientific paperDegree of contribution: Author or co-author of reviewImpact source: ISIImpact index in year of publication: 0.612

Impact source: SCOPUS Category: mathImpact index in year of publication: 0.738

24 PEDRO ABELARDO GARCÍA SÁNCHEZ; IGNACIO OJEDA MARTÍNEZ DE CASTILLA. UNIQUELYPRESENTED FINITELY GENERATED COMMUTATIVE MONOIDS. Pacific journal of mathematics. 248, pp. 91 -105. 2010. Available on-line at: <http://pjm.math.berkeley.edu/pjm/2010/248-1/p06.xhtml>.Type of production: Scientific paper

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Impact source: ISIImpact index in year of publication: 0.549


25 Chapman-,S. T.; PEDRO ABELARDO GARCÍA SÁNCHEZ; DAVID LLENA CARRASCO. THE CATENARY ANDTAME DEGREE OF NUMERICAL MONOIDS. Forum mathematicum. 21 - 1, pp. 117 - 129. 2009. Available on-lineat: <http://www.reference-global.com/doi/abs/10.1515/forum.2009.006>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.702

Impact source: SCOPUS Category: Applied MathematicsImpact index in year of publication: 0.885

26 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. EVERY NUMERICALSEMIGROUP IS ONE HALF OF A SYMMETRIC NUMERICAL SEMIGROUP. Proceedings of the AmericanMathematical Society. 136 - 2, pp. 475 - 477. 2008.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.584

27 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. EVERY NUMERICALSEMIGROUP IS ONE HALF OF INFINITELY MANY SYMMETRIC NUMERICAL SEMIGROUPS. Communicationsin algebra. 36 - 8, pp. 2910 - 2916. 2008. Available on-line at: <http://dx.doi.org/10.1080/00927870802108171>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.337


28 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. NUMERICAL SEMIGROUPSHAVING A TOMS DECOMPOSITION. Canadian mathematical bulletin. 51 - 1, pp. 134 - 139. 2008.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.375

29 PEDRO ABELARDO GARCÍA SÁNCHEZ; DAVID LLENA CARRASCO; JOSE CARLOS ROSALES GONZALEZ.STRONGLY TAUT FINITELY GENERATED MONOIDS. Monatshefte für Mathematik (Print). 155 - 2, pp. 119 -124. 2008. Available on-line at: <http://dx.doi.org/10.1007/s00605-008-0554-0>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.584

30 Delgado-, M; PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALES GONZALEZ; JUAN MANUELURBANO BLANCO. SYSTEMS OF PROPORTIONALLY MODULAR DIOPHANTINE INEQUALITIES. Semigroupforum. 76 - 3, pp. 469 - 488. 2008.

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16

Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.493

Impact source: SCOPUS Category: matheImpact index in year of publication: 0.724

31 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN MANUELURBANO BLANCO. THE SET OF SOLUTIONS OF A PROPORTIONALLY MODULAR DIOPHANTINEINEQUALITY. Journal of number theory (Print). 128 - 3, pp. 453 - 467. 2008. Available on-line at:<HTTP://dx.doi.org/10.1016/j.jnt.2007.11.002>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.443


32 Bras-Amorós,María; PEDRO ABELARDO GARCÍA SÁNCHEZ. PATTERNS ON NUMERICALSEMIGROUPS. Linear algebra and its applications. 414 - 2-3, pp. 652 - 669. 2006. Available on-line at:<http://dx.doi.org/10.1016/j.laa.2005.11.007>.Type of production: Scientific paperImpact source: SCOPUS Category: Algebra and Number TheoryImpact index in year of publication: 0.583


33 Chapman-,S. T.; PEDRO ABELARDO GARCÍA SÁNCHEZ; DAVID LLENA CARRASCO; JOSE CARLOSROSALES GONZALEZ. PRESENTATIONS OF FINITELY GENERATED CANCELLATIVE COMMUTATIVEMONOIDS AND NONNEGATIVE SOLUTIONS OF SYSTEMS OF LINEAR EQUATIONS. Discrete appliedmathematics. 154 - 14, pp. 1947 - 1959. 2006. Available on-line at: <http://dx.doi.org/10.1016/j.dam.2006.03.013>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.577

34 Chapman-,S. T.; PEDRO ABELARDO GARCÍA SÁNCHEZ; DAVID LLENA CARRASCO; Ponomarenko-,Vadim;JOSE CARLOS ROSALES GONZALEZ. THE CATENARY AND TAME DEGREE IN FINITELY GENERATEDCOMMUTATIVE CANCELLATIVE MONOIDS. Manuscripta mathematica. 120 - 3, pp. 253 - 264. 2006. Availableon-line at: <http://dx.doi.org/10.1007/s00229-006-0008-8>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.376

35 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN MANUEL URBANOBLANCO. MODULAR DIOPHANTINE INEQUALITIES AND NUMERICAL SEMIGROUPS. Pacific journal ofmathematics. 218 - 2, pp. 379 - 398. 2005.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.41

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17

Impact source: SCOPUS Category: mathemImpact index in year of publication: 0.975

36 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA; Branco-, M.B.NUMERICAL SEMIGROUPS WITH A MONOTONIC APÉRY SET. CzechoslovakMathematical Journal (Prague, Print). 55 - 130, pp. 755 - 772. 2005.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.11

37 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. PSEUDO-SYMMETRICNUMERICAL SEMIGROUPS WITH THREE GENERATORS. Journal of algebra (Print). 291 - 1, pp. 46 - 54. 2005.Available on-line at: <http://dx.doi.org/10.1016/j.jalgebra.2005.06.005>.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.46


38 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA; Branco-, M.B.ARF NUMERICAL SEMIGROUPS. Journal of algebra (Print). 276 - 1, pp. 3 - 12. 2004.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.554


39 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA. ATOMIC COMMUTATIVE MONOIDS AND THEIR ELASTICITY. Semigroup forum. 68 - 1, pp. 64 - 86.2004. Available on-line at: <http://dx.doi.org/10.1007/s00233-002-0022-4>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.429


40 PEDRO ABELARDO GARCÍA SÁNCHEZ. COMMUTATIVE SEMIGROUPS BY P. A. GRILLET, KLUWERACADEMIC PUBLISHERS, DORDRECHT, 2001. XIV+436PP. ISBN: 0-7923-7067-8. Semigroup forum. 69 - 1, pp.155 - 158. 2004.Type of production: Scientific paperDegree of contribution: Author or co-author of reviewImpact source: ISIImpact index in year of publication: 0.429

Impact source: SCOPUS Category: mathe

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18

Impact index in year of publication: 0.786

41 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA. EVERY POSITIVE INTEGER IS THE FROBENIUS NUMBER OF A NUMERICAL SEMIGROUP WITHTHREE GENERATORS. Mathematica Scandinavica (Papirform). 94 - 1, pp. 5 - 12. 2004.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.279

42 PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALES GONZALEZ. EVERY POSITIVE INTEGERIS THE FROBENIUS NUMBER OF AN IRREDUCIBLE NUMERICAL SEMIGROUP WITH AT MOST FOURGENERATORS. Arkiv för matematik. 42 - 2, pp. 301 - 306. 2004.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.63

43 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIOGARCÍA GARCÍA; JOSÉ ANTONIO JIMÉNEZ MADRID. FUNDAMENTAL GAPS IN NUMERICALSEMIGROUPS. Journal of pure and applied algebra (Print). 189 - 1-3, pp. 301 - 313. 2004. Available on-line at:<http://dx.doi.org/10.1016/j.jpaa.2003.10.024>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.446

Impact source: SCOPUS Category: Algebra and Number TheoryImpact index in year of publication: 1,075 Journal in the top 25%: YesPosition of publication: 10 No. of journals in the cat.: 66

44 JOSE CARLOS ROSALES GONZALEZ; JUAN IGNACIO GARCÍA GARCÍA; PEDRO ABELARDO GARCÍASÁNCHEZ; JOSÉ ANTONIO JIMÉNEZ MADRID. FUNDAMENTAL GAPS IN NUMERICAL SEMIGROUPS WITHRESPECT TO THEIR MULTIPLICITY. Acta mathematica Sinica. English series (Print). 20 - 4, pp. 629 - 646. 2004.Available on-line at: <http://dx.doi.org/10.1007/s10114-003-0298-7>.Type of production: Scientific paperImpact source: SCOPUS Category: matheImpact index in year of publication: 0.410

45 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. NUMERICAL SEMIGROUPSWITH EMBEDDING DIMENSION THREE. Archiv der Mathematik (Printed ed.). 83 - 6, pp. 488 - 496. 2004.Available on-line at: <http://dx.doi.org/10.1007/s00013-004-1149-1>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.236

46 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA; Branco-, M.B.SATURATED NUMERICAL SEMIGROUPS. Houston journal of mathematics. 30 - 2, pp.321 - 330. 2004.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.306

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19

47 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA. IDEALS OF FINITELY GENERATED COMMUTATIVE MONOIDS. Semigroup forum. 66 - 2, pp. 305 -322. 2003. Available on-line at: <http://dx.doi.org/10.1007/s002330010160>.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.27


48 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIOGARCÍA GARCÍA; Branco-, M.B.NUMERICAL SEMIGROUPS WITH MAXIMAL EMBEDDING DIMENSION.INTERNATIONAL JOURNAL OF COMMUTATIVE RINGS. 2, pp. 47 - 53. 2003.Type of production: Scientific paper

49 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIOGARCÍA GARCÍA; JUAN MANUEL URBANO BLANCO. PROPORTIONALLY MODULAR DIOPHANTINEINEQUALITIES. Journal of number theory (Print). 103 - 2, pp. 281 - 294. 2003. Available on-line at:<http://www.sciencedirect.com/science/article/B6WKD-49KH08F-1/2/6f846be34bafb8479148d1b20fa96c27>.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.39

Impact source: SCOPUS Category: Algebra and Number TheoryImpact index in year of publication: 0.887Position of publication: 15 No. of journals in the cat.: 66

50 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA; JOSÉ ANTONIO JIMÉNEZ MADRID. THE OVERSEMIGROUPS OF A NUMERICAL SEMIGROUP.Semigroup forum. 67 - 1, pp. 145 - 158. 2003.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.27


51 PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALES GONZALEZ. ON BUCHSBAUMSIMPLICIAL AFFINE SEMIGROUPS. Pacific journal of mathematics. 202 - 2, pp. 329 - 339. 2002.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.467

52 Chapman-,S. T.; JUAN IGNACIO GARCÍA GARCÍA; PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOSROSALES GONZALEZ. ON THE NUMBER OF FACTORIZATIONS OF AN ELEMENT IN AN ATOMIC MONOID.Advances in applied mathematics (Online). 29 - 3, pp. 438 - 453. 2002.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.522

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20

53 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA; Branco-, M.B.SYSTEMS OF INEQUALITIES AND NUMERICAL SEMIGROUPS. Journal of the LondonMathematical Society (Print). 65, pp. 611 - 623. 2002.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.566

Impact source: SCOPUS Category: Mathematics (miscellaneous)Impact index in year of publication: 1,429 Journal in the top 25%: YesPosition of publication: 47 No. of journals in the cat.: 352

54 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA. COMMUTATIVE IDEAL EXTENSIONS OF ABELIAN GROUPS. Semigroup forum. 62 - 2, pp. 311 - 316.2001.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.156


55 Chapman-,S. T.; JUAN IGNACIO GARCÍA GARCÍA; PEDRO ABELARDO GARCÍA SÁNCHEZ;JOSE CARLOS ROSALES GONZALEZ. COMPUTING THE ELASTICITY OF A KRULLMONOID. Linear algebra and its applications. 336 - 1-3, pp. 191 - 200. 2001. Available on-line at:<www.sciencedirect.com/science/article/B6V0R-442B14T-F/1/99554baa651a256bfda2d08bc48a6030>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.423


56 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA. IRREDUCIBLE IDEALS OF FINITELY GENERATED COMMUTATIVE MONOIDS. Journal of algebra(Print). 238 - 1, pp. 328 - 344. 2001.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.501


57 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. MINIMAL PRESENTATIONSOF FULL SUBSEMIGROUPS OF N-2. The Rocky Mountain journal of mathematics. 31 - 4, pp. 1417 - 1422. 2001.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.137

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21

58 RAFAEL LUIS TORRES ROLDAN; ANTONIO GARCIA CASCO; PEDRO ABELARDO GARCÍASÁNCHEZ. CSPACE; AN INTEGRATED WORKPLACE FOR THE GRAPHICAL AND ALGEBRAICANALYSIS OF PHASE ASSEMBLAGES ON 32-BIT WINTEL PLATFORMS.Computers &geosciences. 26 - 7, pp. 779 - 793. 2000. Available on-line at: <www.sciencedirect.com/science?_ob=gatewayurl&_origin=silverlinker&_urlversion=4&_method=citationsearch&_volkey=0098%2d3004%2326%23779%237&_version=1&md5=56df9abb1946ef44c50af6b64986d89b>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.468

59 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. ON FULL AFFINESEMIGROUPS. Journal of pure and applied algebra (Print). 149 - 3, pp. 295 - 303. 2000. Available on-line at:<www.sciencedirect.com/science/article/B6V0K-40D0RX1-6/1/98f329898319e1630fb76da373b56a5a>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.386

60 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. ON THE STRUCTURE OFSIMPLICIAL AFFINE SEMIGROUPS. Proceedings of the Royal Society of Edinburgh Section A: Mathematics.130, pp. 1017 - 1028. 2000.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.483

Impact source: SCOPUS Category: matheImpact index in year of publication: 1.324 Journal in the top 25%: YesPosition of publication: 49 No. of journals in the cat.: 352

61 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. REDUCED COMMUTATIVEMONOIDS WITH TWO ARCHIMEDEAN COMPONENTS.Bollettino della Unione matematica italiana (1922). 3B -2, pp. 471 - 484. 2000.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.117

62 PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALES GONZALEZ. NUMERICAL SEMIGROUPSGENERATED BY INTERVALS. Pacific journal of mathematics. 191 - 1, pp. 75 - 83. 1999.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.354

63 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. ON FREE AFFINESEMIGROUPS. Semigroup forum. 58 - 3, pp. 367 - 385. 1999.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.238

Impact source: SCOPUS Category: Mathematics (miscellaneous)Impact index in year of publication: 0.655

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22

64 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. ON NORMAL AFFINESEMIGROUPS. Linear algebra and its applications. 286 - 1-3, pp. 175 - 186. 1999. Available on-line at:<www.sciencedirect.com/science/article/B6V0R-3VXSMW1-16/1/68e14619f546e5ffbf7d82505e5f52b9>.Type of production: Scientific paperImpact source: SCOPUS Category: Algebra and Number TheoryImpact index in year of publication: 0,709


65 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN MANUEL URBANOBLANCO. ON PRESENTATIONS OF COMMUTATIVE MONOIDS. International journal of algebra andcomputation. 9 - 5, pp. 539 - 553. 1999.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.516

Impact source: SCOPUS Category: Mathematics (miscellaneous)Impact index in year of publication: 1.413 Journal in the top 25%: YesPosition of publication: 44 No. of journals in the cat.: 352

66 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. ON THE STRUCTURE OFCOHEN-MACAULAY SIMPLICIAL AFFINE SEMIGROUPS. Communications in algebra. 27 - 2, pp. 511 - 518.1999.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.286


67 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. PRESENTATIONS FORSUBSEMIGROUPS OF FINITELY GENERATED COMMUTATIVE SEMIGROUPS. Israel Journal of Mathematics.113, pp. 269 - 283. 1999.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.446

Impact source: SCOPUS Category: mathemImpact index in year of publication: 0.947

68 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. NONNEGATIVE ELEMENTSOF SUBGROUPS OF ZN. Linear algebra and its applications. 270, pp. 351 - 357. 1998.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.392

69 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. ON COHEN-MACAULAY ANDGORENSTEIN SIMPLICIAL AFFINE SEMIGROUPS. Proceedings of the Edinburgh Mathematical Society. 41, pp.517 - 537. 1998.

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23

Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.234

70 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN MANUEL URBANOBLANCO. ON COHEN-MACAULAY SUBSEMIGROUPS OF N-2. Communications in algebra. 26 - 8, pp. 2543 -2558. 1998.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.242

71 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ.ON NUMERICAL SEMIGROUPS WITH HIGH EMBEDDING DIMENSION.Journal of algebra (Print). 203 - 2, pp. 567 - 578. 1998. Available on-line at:<www.sciencedirect.com/science/article/B6WH2-45J553P-69/1/e5b236627c4098da4a538111589cc87d>.Type of production: Scientific paperImpact source: ISIImpact index in year of publication: 0.422

72 PEDRO ABELARDO GARCÍA SÁNCHEZ. GRÖBNER AND INVOLUTIVE BASES FORZERO-DIMENSIONAL IDEALS. SIGSAM bulletin. 29 - 2, pp. 12 - 15. 1995. Availableon-line at: <http://delivery.acm.org/10.1145/210000/202492/p12-garcia-sanchez.pdf?key1=202492&key2=3789844411&coll=guide&dl=guide&cfid=72275225&cftoken=60841223>.Type of production: Scientific paper

73 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. ON COMPLETEINTERSECTION AFFINE SEMIGROUPS. Communications in algebra. 23 - 14, pp. 5395 - 5412. 1995.Type of production: Scientific paperImpact source: ISI Category: Science Edition - MATHEMATICSImpact index in year of publication: 0.32

74 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA. K-FACTORIZED ELEMENTS IN TELESCOPIC NUMERICAL SEMIGROUPS. ARITHMETICALPROPERTIES OF COMMUTATIVE RINGS AND MONOIDS. 241, pp. 260 - 271. 2005.Type of production: Book chapter Format: BookDegree of contribution: Author or co-author of chapter in book

75 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍAGARCÍA. HOW TO CHECK IF A FINITELY GENERATED COMMUTATIVE MONOID IS A PRINCIPAL IDEALCOMMUTATIVE MONOID. PROCEEDINGS OF THE 2000 INTERNATIONAL SYMPOSIUM ON SYMBOLIC ANDALGEBRAIC COMPUTATION. pp. 288 - 291. 2000.Type of production: Book chapter Format: BookDegree of contribution: Author or co-author of chapter in book

76 JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ. NUMERICALSEMIGROUPS. Developments in Mathematics. 20, pp. 1 - 181. SPRINGER, 2009. Available on-line at:<http://www.springer.com/math/algebra/book/978-1-4419-0159-0>. ISBN 978-1-4419-0159-0Type of production: Scientific book or monographDegree of contribution: Author or co-author of entire bookImpact source: SCOPUS Category: Mathematics (miscellaneous)

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24

Impact index in year of publication: 0.1

Source of citations: mathscinet Citations: 45

77 PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALES GONZALEZ. FINITELY GENERATEDCOMMUTATIVE MONOIDS. NOVA SCIENCE PUBLISHERS, 1999. ISBN 1-56072-670-9Type of production: Scientific book or monographDegree of contribution: Author or co-author of entire bookSource of citations: mathscinet Citations: 82

78 M. Delgado; Pedro A. García Sánchez; J. Morais. numericalgsps, a package for numerical semigroups. GAPpackages. 2005. Available on-line at: <http://gap-system.org/Packages/numericalsgps.html>.Type of production: SoftwareSource of citations:http://www.swmath.org/software/640

Citations: 32

Relevant results: versión actual 0.98 (17/06/2013)

Works submitted to national or international conferences

1 Title of the work: La estructura de los conjuntos Delta en dimensión de inmersión tresName of the conference: IX Encuentro Andaluz de Matemática DiscretaType of event: ConferenceReasons for participation: Review before acceptanceCity of event: Almería, SpainDate of event: 15/10/2015End date: 16/10/2015Organising entity: Universidad de Almería Type of entity: UniversityWith external admission assessment committee: YesType of contribution: Scientific paperPedro A García Sánchez; David Llena; Alessio Moscariello. En: Avances en Matemática Discreta enAndalucía. 4, pp. 125 - 132. Andalusia (Spain): Universidad de Almería, 2015. Available on-line at:<http://www.ual.es/Congresos/eamd2015/trabajos.html>. ISBN 978-84-8240-724-1

2 Title of the work: Bases of subalgebras of K[[x]] and K[x]Name of the conference: MEGA 2015Type of event: ConferenceReasons for participation: Review before acceptanceCity of event: Trento (Povo), ItalyDate of event: 15/06/2015End date: 19/06/2015Organising entity: Università di Trento Type of entity: UniversityType of contribution: Scientific paperAbdallah Assi; Pedro A. García Sánchez; Vincenzo Micale. Available on-line at:<http://mega2015.science.unitn.it>.

3 Title of the work: Hiper LFormasName of the conference: Congreso RSME 2015 (sesión Matemática Discreta)Type of event: ConferenceReasons for participation: Upon invitationCorresponding author: Yes

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City of event: Granada,Date of event: 02/02/2015End date: 06/02/2015Organising entity: Universidad de Granada Type of entity: UniversityPublication in conference proceedings: YesFrancisco Aguiló Gost; Pedro A. García Sánchez; David Llena. pp. 101 - 101. Available on-line at:<http://www.ugr.es/~rsme2015>.

4 Title of the work: Nuevos métodos para el cálculo de invariantes de factorización no únicaName of the conference: Congreso RSME 2015 (sesión Teoría de Números)Type of event: ConferenceReasons for participation: Upon invitationCity of event: Granada,Date of event: 02/02/2015End date: 06/02/2015Organising entity: Universidad de Granada Type of entity: UniversityPublication in conference proceedings: Yespp. 146 - 146. Available on-line at: <http://www.ugr.es/~rsme2015>.

5 Title of the work: Computing nonunique factorization invariantsName of the conference: Arithmetic and Ideal Theory in Rings and SemigroupsReasons for participation: Upon invitationCity of event: Graz, AustriaDate of event: 22/09/2014End date: 26/09/2014Organising entity: Karl-Franzens-Universität Graz Type of entity: UniversityPedro A. García Sánchez.

6 Title of the work: Minimal presentations and non-unique factorization invariants for numerical semigroupsName of the conference: Parallel programming in GAPType of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - oral communicationCity of event: St Andrews, Eastern Scotland, United KingdomDate of event: 18/08/2013End date: 24/08/2013Organising entity: University of St Andrews Type of entity: University

7 Title of the work: Huneke-Wiegand Conjecture for complete intersection numerical semigroup ringsName of the conference: Joint Mathematics Meetings 2013 San DiegoType of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: San Diego, California, Estados Unidos,Date of event: 09/01/2013End date: 12/01/2013Organising entity: AMS Type of entity: Associations and GroupsPEDRO ABELARDO GARCÍA SÁNCHEZ; Leamer, Micah J.

8 Title of the work: Constructing almost symmetricName of the conference: VIII Jornadas de Matemática Discreta y AlgorítmicaType of event: ConferenceCity of event: UNIVERSIDAD DE ALMERÍA,

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Date of event: 11/07/2012End date: 13/07/2012Organising entity: Universidad de Almería Type of entity: UniversityPEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALES GONZALEZ. "Comunicación". En:VIII Jornadas de Matemática Discreta y Algorítmica. pp. 133 - 138. 13/07/2012. ISBN 978-84-15487-13-5

9 Title of the work: Semigroup therorical characterizations of arithmetical invariantsName of the conference: Third International Meeting on Integer Valued Polynomials and Problems inCommutative AlgebraType of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: Luminy, Provence-Alpes-Côte d'Azur, FranceDate of event: 29/11/2010End date: 03/12/2010Organising entity: CIRM Type of entity: R&D CentreType of contribution: Scientific paperV. Blanco; Pedro A. García Sánchez; A. Geroldinger. 2 - 2, pp. 95 - 98. ISSN 2105-0597

10 Title of the work: ON THE FENG-RAO NUMBERSName of the conference: VII JORNADAS DE MATEMÁTICA DISCRETA Y ALGORÍTMICAType of event: Conference Geographical area: NationalType of participation: Participatory - oral communicationCity of event: CASTRO URDIALES (CANTABRIA),Date of event: 07/07/2010End date: 09/07/2010Organising entity: Universidad de Cantabria Type of entity: UniversityFarrán-Martín,José Ignacio; PEDRO ABELARDO GARCÍA SÁNCHEZ; DAVID LLENA CARRASCO. pp. 312- 333. ISBN 978-84-693-3063-0

11 Title of the work: GENERATING FUNCTIONS FOR COUNTING THE NUMBER OF NUMERICALSEMIGROUPS OF A GIVEN GENUSName of the conference: IBERIAN MEETING ON NUMERICAL SEMIGROUPS - Granada 2010Type of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: GRANADA, ESPAÑA,Date of event: 03/02/2010End date: 05/02/2010Organising entity: Universidad de Granada Type of entity: UniversityVICTOR BLANCO; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUSTO PUERTO ALBANDOZ."GENERATING FUNCTIONS FOR COUNTING THE NUMBER OF NUMERICAL SEMIGROUPS OF AGIVEN GENUS". En: IBERIAN MEETING ON NUMERICAL SEMIGROUPS. pp. 2 - 2.

12 Title of the work: FACTORIZATION AND CATENARY DEGREE IN 3-GENERATED NUMERICALSEMIGROUPSName of the conference: EUROPEAN CONFERENCE ON COMBINATORICS, GRAPH THEORY ANDAPPLICATIONS (EUROCOMB 2009) () (.2009.BURDEOS, FRANCIA)Type of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - oral communicationCity of event: BURDEOS, FRANCIA,Date of event: 07/09/2009End date: 11/09/2009Organising entity: EuroCom Type of entity: Associations and Groups

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Aguiló-Gost,Francesc; PEDRO ABELARDO GARCÍA SÁNCHEZ. "FACTORIZATION AND CATENARYDEGREE IN 3-GENERATED NUMERICAL SEMIGROUPS". En: EUROPEAN CONFERENCE ONCOMBINATORICS, GRAPH THEORY AND APPLICATIONS (EUROCOMB 2009). 34, pp. 157 - 161. ISSN1571-0653

13 Title of the work: NOTABLE ELEMENTS FOR COUNTING NUMERICAL SEMIGROUPSName of the conference: INTERNATIONAL CONFERENCE ON SEMIGROUPS AND RELATED TOPICS -PORTO 2009 () (.2009.PORTO (PORTUGAL))Type of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: PORTO (PORTUGAL),Date of event: 06/07/2009End date: 11/07/2009Organising entity: Universidade de Porto Type of entity: UniversityPEDRO ABELARDO GARCÍA SÁNCHEZ. "NOTABLE ELEMENTS FOR COUNTING NUMERICALSEMIGROUPS". En: INTERNATIONAL CONFERENCE ON SEMIGROUPS AND RELATED TOPICS PORTO2009. pp. 27 - 28. Available on-line at: <http://www.fc.up.pt/ICSrt2009/>.

14 Title of the work: IRREDUCIBLE NUMERICAL SEMIGROUPSName of the conference: II IBERIAN MATHEMATICAL MEETING (2) (2.2008.BADAJOZ)Type of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: BADAJOZ, Extremadura, SpainDate of event: 03/10/2008End date: 05/10/2008Organising entity: RSME y SPM Type of entity: Associations and GroupsPEDRO ABELARDO GARCÍA SÁNCHEZ. "IRREDUCIBLE NUMERICAL SEMIGROUPS". En: IIIBERIAN MATHEMATICAL MEETING. pp. 51 - 52. Available on-line at: <http://imm2.unex.es/>. ISBN978-84-692-3591-1

15 Title of the work: MONOIDES FINITAMENTE GENERADOS Y FUERTEMENTE TENSOSName of the conference: JORNADAS DE MATEMÁTICA DISCRETA Y ALGORÍTMICA ()(6.2008.LÉRIDA)Type of event: Conference Geographical area: NationalType of participation: 'Participatory - posterCity of event: LÉRIDA,Date of event: 21/07/2008End date: 23/07/2008Organising entity: Universitat de Lleida Type of entity: UniversityDAVID LLENA CARRASCO; PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALESGONZALEZ. ISBN 978-84-8409-263-6

16 Title of the work: ON THE GAP PACKAGE NUMERICALSGPSName of the conference: JORNADAS DE MATEMÁTICA DISCRETA Y ALGORÍTMICA (5)(5.2006.SORIA)Type of event: Conference Geographical area: NationalCity of event: SORIA,Date of event: 11/07/2006End date: 14/07/2006Organising entity: Universidad de Valladolid Type of entity: University

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Delgado-, M; PEDRO ABELARDO GARCÍA SÁNCHEZ; Morais-,Jose Joao. "ON THE GAP PACKAGENUMERICALSGPS". En: V JORNADAS DE MATEMÁTICA DISCRETA Y ALGORÍTMICA. pp. 271 - 278. ISBN84-8448-380-0

17 Title of the work: PRESENTACIONES DE MONOIDES CANCELATIVOS FINITAMENTE GENERADOS YSOLUCIONES NATURALES DE SISTEMAS LINEALES DE ECUACIONESName of the conference: JORNADAS DE MATEMÁTICA DISCRETA Y ALGORÍTMICA (5)(5.2006.SORIA)Type of event: Conference Geographical area: NationalCity of event: SORIA,Date of event: 11/07/2006End date: 14/07/2006Organising entity: Universidad de ValladolidChapman-,S. T.; DAVID LLENA CARRASCO; PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOSROSALES GONZALEZ. "PRESENTACIONES DE MONOIDES CANCELATIVOS FINITAMENTEGENERADOS Y SOLUCIONES NATURALES DE SISTEMAS LINEALES DE ECUACIONES". En: VJORNADAS DE MATEMÁTICA DISCRETA Y ALGORÍTMICA. pp. 217 - 224. ISBN 84-8448-380-0

18 Title of the work: Catenary and tame degree from the point of view of a presentation of a monoidName of the conference: Workshop on commutative ringsType of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: Cortona, Toscana, ItalyDate of event: 05/06/2006End date: 09/06/2006Organising entity: INdAM Type of entity: Associations and GroupsS. T. Chapman; P. A. García Sánchez; D. Llena; V. Ponomarenko; J.C. Rosales.

19 Title of the work: Catenary degree in finitely generated cancellative commutative monoidsName of the conference: International Conference on Semigroups and Languages (in Honour of the 65 thbirthday of Donald B. McAlister)Geographical area: Non EU InternationalType of participation: Participatory - oral communicationCity of event: Lisboa, PortugalDate of event: 12/07/2005End date: 15/07/2005Organising entity: CAUL Type of entity: R&D CentreS. T. Chapman; Pedro A. García Sánchez; David Llena; José Carlos Rosales.

20 Title of the work: THE DIOPHANTINE INEQUALITY AX MOD B <= CXName of the conference: 2ND JOINT MEETING OF AMS, DMV, ÖMG AT MAINZ () (.2005.MAINZ,ALEMANIA)Type of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: MAINZ, ALEMANIA,Date of event: 16/06/2005End date: 19/06/2005Organising entity: AMS, DMV, ÖMG Type of entity: Associations and GroupsPEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIO GARCÍA GARCÍA; JOSE CARLOS ROSALESGONZALEZ; JUAN MANUEL URBANO BLANCO. "THE DIOPHANTINE INEQUALITY AX MOD B <= CX".En: 2ND JOINT MEETING OF AMS, DMV, ÖMB AT MAINZ.

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21 Title of the work: El conjunto de soluciones de una inecuación Diofántica proporcinalmente modularName of the conference: Mat.es 2005Type of event: Conference Geographical area: NationalType of participation: Participatory - oral communicationCity of event: Valencia, Valencian Community, SpainDate of event: 31/01/2005End date: 04/02/2005Organising entity: Universitat de València Type of entity: UniversityType of contribution: Scientific paperJOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIOGARCÍA GARCÍA; Branco-, M.B.

22 Title of the work: Numerical semigroups generated by three elementsName of the conference: International Symposium on Commutative Rings and MonoidsGeographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: Graz, AustraliaDate of event: 29/09/2004End date: 01/10/2004Organising entity: Karl-Franzens Universitat Type of entity: UniversityPedro A. García Sánchez; J. C. Rosales.

23 Title of the work: Numerical semigroups with monotonic Apery setName of the conference: EACA'2004Type of event: Conference Geographical area: NationalType of participation: Participatory - oral communicationCity of event: Santander, Cantabria, SpainDate of event: 01/07/2004End date: 03/07/2004Organising entity: Universidad de Cantabria Type of entity: UniversityType of contribution: Scientific paperJOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIOGARCÍA GARCÍA; Branco-, M.B.En: EACA 2004. pp. 243 - 247. ISBN 84-688-6988-0

24 Title of the work: Proportionally modular numerical semigroupsName of the conference: EACA'2004Type of event: Conference Geographical area: NationalType of participation: Participatory - oral communicationCity of event: Santander, Cantabria, SpainDate of event: 01/07/2004End date: 03/07/2004Organising entity: Universidad de Cantabria Type of entity: UniversityType of contribution: Scientific paperJOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIOGARCÍA GARCÍA; J. M. Urbano Blanco. En: EACA 2004. pp. 249 - 253. ISBN 84-688-6988-0

25 Title of the work: SATURATED NUMERICAL SEMIGROUPSName of the conference: EACA'2002 (.2002.PEÑARANDA DE DUERO, ESPAÑA)Type of event: Conference Geographical area: NationalCity of event: PEÑARANDA DE DUERO, ESPAÑA,Date of event: 11/09/2002

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End date: 13/09/2002JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIOGARCÍA GARCÍA; Branco-, M.B."SATURATED NUMERICAL SEMIGROUPS". En: EACA'2002. pp. 16 - 27.ISSN 0163-5824

26 Title of the work: THE OVERSEMIGROUPS OF A NUMERICAL SEMIGROUPName of the conference: EACA'2002 (.2002.PEÑARANDA DE DUERO, ESPAÑA)Type of event: Conference Geographical area: NationalCity of event: PEÑARANDA DE DUERO, ESPAÑA,Date of event: 11/09/2002JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIOGARCÍA GARCÍA; JOSÉ ANTONIO JIMÉNEZ MADRID. "THE OVERSEMIGROUPS OF A NUMERICALSEMIGROUP". En: EACA'2002. 37, pp. 191 - 194. ISSN 0163-5824

27 Title of the work: Internacional conference on Semigroups and Groups in honor of the 65 birthday of JohnRhodesName of the conference: Arf numerical semigroupsGeographical area: Non EU InternationalType of participation: Participatory - oral communicationCity of event: Oporto, Norte, PortugalDate of event: 26/06/2002End date: 29/06/2002Organising entity: Universidade de Porto Type of entity: UniversityJ. C. Rosales; Pedro A. García Sánchez; J. I. García García; M. B. Branco.

28 Title of the work: Number of factorizations of an element in an atomic monoidName of the conference: EACA'2001Type of event: Conference Geographical area: NationalType of participation: Participatory - oral communicationCity of event: Ezcaray, La Rioja, SpainDate of event: 12/09/2001End date: 14/09/2001Organising entity: Universidad de La Rioja Type of entity: UniversityType of contribution: Scientific paperS. T. Chapman; J. I. García García; Pedro A. García Sánchez; José Carlos Rosales. En: Actas. pp. 19 -123. ISBN 84-95301-52-0

29 Title of the work: Number of factorizations of an element in an atomic monoidName of the conference: Tematic term on Semigroups, algorithms, automata and languagesGeographical area: Non EU InternationalType of participation: Participatory - oral communicationCity of event: Coimbra, PortugalDate of event: 02/07/2001End date: 06/07/2001Organising entity: Centro Internacional deMatemática

Type of entity: R&D Centre

S. T. Chapman; J. I. García García; Pedro A. García Sánchez; José Carlos Rosales.

30 Title of the work: Elasticity and lenght functions in atomic monoidsName of the conference: Joint Mathematics Meeting of AMSType of event: Conference Geographical area: Non EU International

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Type of participation: Participatory - invited/keynote talkCity of event: Nueva Orleans, United States of AmericaDate of event: 10/01/2001End date: 13/01/2001Organising entity: AMS Type of entity: Associations and GroupsType of contribution: Scientific paperPedro A. García Sánchez. "Actas". En: Actas.

31 Title of the work: IRREDUCIBLE IDEALS OF FINITELY GENERATED COMMUTATIVE MONOIDSName of the conference: EACA 2000Type of event: Conference Geographical area: NationalCity of event: BARCELONA,Date of event: 06/09/2000End date: 08/09/2000Organising entity: Universitat Politècnica deCatalunya


JOSE CARLOS ROSALES GONZALEZ; PEDRO ABELARDO GARCÍA SÁNCHEZ; JUAN IGNACIOGARCÍA GARCÍA. pp. 10 - 22. ISSN 0163-5824

32 Title of the work: HOW TO CHECK IF A FINITELY GENERATED COMMUTATIVE MONOID IS APRINCIPAL IDEAL COMMUTATIVE MONOIDName of the conference: INTERNATIONAL CONFERENCE ON SYMBOLIC AND ALGEBRAICCOMPUTATION (.2000.ST ANDREWS (ESCOCIA))Type of event: Conference Geographical area: Non EU InternationalCity of event: ST ANDREWS (ESCOCIA), Eastern Scotland, United KingdomDate of event: 07/08/2000End date: 09/08/2000Organising entity: University of St Andrews Type of entity: UniversityJUAN IGNACIO GARCÍA GARCÍA; PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALESGONZALEZ. "HOW TO CHECK IF A FINITELY GENERATED COMMUTATIVE MONOID IS A PRINCIPALIDEAL COMMUTATIVE MONOID". En: ISSAC 2000 : PROCEEDINGS OF THE 2000 INTERNATIONALSYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION. pp. 288 - 291. ISBN 1-58113-218-2

33 Title of the work: Atomic commutative monoids and their elasticityName of the conference: Deuxième rencontre internationale sur les polynomes à valeurs entièresType of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: Luminy, Provence-Alpes-Côte d'Azur, FranceDate of event: 29/05/2000End date: 02/06/2000Organising entity: CIRM Type of entity: R&D CentreType of contribution: Scientific paperJ. I. García García; P. A. García Sánchez; J. C. Rosales.

34 Title of the work: Computing the elasticity of a Krull monoidName of the conference: Deuxième rencontre internationale sur les polynomes à valeurs entièresType of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: Luminy, Provence-Alpes-Côte d'Azur, FranceDate of event: 29/05/2000End date: 02/06/2000

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Organising entity: CIRM Type of entity: R&D CentreType of contribution: Scientific paperS. T. Chapman; J. I. García García; P. A. García Sánchez; J. C. Rosales.

35 Title of the work: COMPUTING THE ELASTICITY OF A KRULL MONOIDName of the conference: Workshop: Aspectos computacionales en Algebra Conmutativa y GeometriaAlgebraicaType of event: Conference Geographical area: NationalCity of event: Valladolid, Castile and León, SpainDate of event: 08/05/2000End date: 12/05/2000Organising entity: Universidad de Valladolid Type of entity: UniversityJUAN IGNACIO GARCÍA GARCÍA; PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALESGONZALEZ. "COMPUTING THE ELASTICITY OF A KRULL MONOID". pp. 1 - 1.

36 Title of the work: On Buchsbaum simplicial affine semigroupsName of the conference: Workshop: Aspectos computacionales en Algebra Conmutativa y GeometriaAlgebraicaType of event: Conference Geographical area: NationalCity of event: Valladolid, Castile and León, SpainDate of event: 08/05/2000End date: 12/05/2000Organising entity: Universidad de Valladolid Type of entity: UniversityPEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALES GONZALEZ. "COMPUTING THEELASTICITY OF A KRULL MONOID". pp. 1 - 1.

37 Title of the work: COMMUTATIVE IDEAL EXTENSIONS OF ABELIAN GROUPSName of the conference: EACA 99Type of event: Conference Geographical area: NationalCity of event: La Laguna, Canary Islands, SpainDate of event: 08/09/1999End date: 11/09/1999Organising entity: Universidad de La Laguna Type of entity: UniversityJUAN IGNACIO GARCÍA GARCÍA; PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALESGONZALEZ. "COMMUTATIVE IDEAL EXTENSIONS OF ABELIAN GROUPS". pp. 1 - 1.

38 Title of the work: A structure theorem for simplicial affine semigroupName of the conference: Internacional conference on semigroupsType of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - oral communicationCity of event: Braga, Norte, PortugalDate of event: 18/06/1999End date: 23/06/1999Organising entity: Universidade do Minho Type of entity: University

39 Title of the work: Ideals of finitely generated commutative monoidsName of the conference: SAGA V: International conference on Algebra and Algebraic GeometryType of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - oral communicationCity of event: León, Castile and León, SpainDate of event: 09/06/1999

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End date: 11/06/1999Organising entity: Universidad de León Type of entity: UniversityType of contribution: Scientific paperPEdro A. García Sánchez; Juan Ignacio García García; José Carlos Rosales.

40 Title of the work: Number of generators for the defining ideals of numerical semigroup ringsName of the conference: Workshop on commutative algebraType of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: Roma, ItalyDate of event: 02/06/1999End date: 05/06/1999Organising entity: Università La Sapienza y Roma TrePedro A. García Sánchez; José Carlos Rosales.

41 Title of the work: PRESENTACIONES DE MONOIDES CANCELATIVOSName of the conference: EACA'98Type of event: Conference Geographical area: NationalType of participation: Participatory - oral communicationCity of event: Siguenza, Castile-La Mancha, SpainDate of event: 14/09/1998End date: 16/09/1998Organising entity: Universidad de Alcalá Type of entity: UniversityJUAN IGNACIO GARCÍA GARCÍA; PEDRO ABELARDO GARCÍA SÁNCHEZ; JOSE CARLOS ROSALESGONZALEZ. "PRESENTACIONES DE MONOIDES CANCELATIVOS". pp. 1 - 1.

42 Title of the work: Computing presentations of finitely generated commutative semigroups; deterministicalgorithms to obtain information from a given presentationName of the conference: ICAPGS'98Type of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - oral communicationCity of event: Lincoln, United States of AmericaDate of event: 11/05/1998End date: 15/05/1998Organising entity: UNL Type of entity: UniversityPedro A. García Sánchez; José Carlos Rosales.

43 Title of the work: Nonnegative elements of subgroups of Z^nName of the conference: Cycle of Lectures on integral matricesType of event: Conference Geographical area: Non EU InternationalType of participation: Participatory - invited/keynote talkCity of event: Lisboa, Lisboa, PortugalDate of event: 10/07/1997End date: 14/07/1997Organising entity: CAUL Type of entity: R&D CentrePedro A. García Sánchez; José Carlos Rosales.

44 Title of the work: On affine semigroups with divisor-theoryName of the conference: EACA'96Type of event: Conference Geographical area: NationalType of participation: Participatory - oral communication

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City of event: Sevilla, Andalusia, SpainDate of event: 26/09/1996End date: 27/09/1996Organising entity: Universidad de Sevilla Type of entity: UniversityType of contribution: Scientific paperPedro A. García Sánchez; José Carlos Rosales.

45 Title of the work: Sobre un posible invariante completo para grafos no dirigidosName of the conference: CODIGRAF'93Type of event: Conference Geographical area: NationalType of participation: Participatory - oral communicationCity of event: Platja d'Aro, Catalonia, SpainDate of event: 22/09/1993End date: 24/09/1993Organising entity: Universitat Politècnica deCatalunya


Type of contribution: Scientific paperJ.M. Urbano Blanco; Pedro A. García Sánchez.

46 Title of the work: La ley de Zipf para el castellano y herramientas para su computaciónName of the conference: VIII Congreso SEPLNType of event: ConferenceType of participation: Participatory - oral communicationCity of event: Granada, Andalusia, SpainDate of event: 07/09/1992End date: 09/09/1992Organising entity: Universidad de Granada Type of entity: UniversityPedro A. García Sánchez; F. M. García Olmedo; Álvaro Martínez Sevilla.

Works submitted to national or international seminars, workshops and/or courses

1 Title of the work: Monoids and linear (in)equationsName of the event: Second Mini-Workshop IMAC-Sincacom in La Plana: Topics in Monoid TheoryType of event: WorkshopReasons for participation: Upon invitationCity of event: Castellón de la Plana,Date of event: 24/09/2015End date: 24/09/2015Organising entity: Universitat Jaume I Type of entity: UniversityPedro A. García Sánchez.

2 Title of the work: Systems of inequalities and equations coming from factorization properties in affinesemigroupsName of the event: Normaliz WorkshopCity of event: Osnabrück,Date of event: 15/05/2015End date: 16/05/2015Organising entity: Institut für Mathematik Type of entity: University Research InstituteCity organizing entity: Osnabrück, GermanyPedro A. García Sánchez.

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3 Title of the work: Numericalsgps package: New featuresName of the event: GAP Days 2015City of event: Aachen, GermanyDate of event: 16/03/2015End date: 20/03/2015Organising entity: RWTH Type of entity: University Research InstituteP. A. García-Sánchez.

4 Title of the work: New features of the numericalsgps packageName of the event: GAP Days 2014City of event: Aachen, GermanyDate of event: 25/08/2014End date: 29/08/2014Organising entity: RWTH Type of entity: University Research InstituteP. A. García-Sánchez.

5 Title of the work: Introducción a los semigrupos numéricos y problemas abiertosName of the event: Seminario de GeometriaCity of event: Almería, Andalusia, SpainDate of event: 15/07/2014End date: 15/07/2014Organising entity: Universidad de Almería Type of entity: UniversityP. A. García Sánchez.

6 Title of the work: Funciones generatrices y vectores de Frobenius de semigrupos afines interseccióncompletaName of the event: Seminario del Departamento de ÁlgebraCity of event: Sevilla, Andalusia, SpainDate of event: 21/03/2014Organising entity: Universidad de Sevilla Type of entity: UniversityP. A. García-Sánchez.

7 Title of the work: Numerical semigroups in MathematicsName of the event: Number Theory Lunch SeminarType of event: SeminarReasons for participation: Upon invitationGeographical area: Non EU InternationalCity of event: Bonn, GermanyDate of event: 29/01/2014Organising entity: Max-Planck Institut fürMathematik


Pedro A. García Sánchez.

8 Title of the work: The ubiquity of Apéry setsName of the event: Number Theory Lunch SeminarType of event: SeminarReasons for participation: Upon invitationGeographical area: Non EU InternationalCity of event: Bonn, GermanyDate of event: 29/01/2014

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Organising entity: Max-Planck Institut fürMathematik



9 Title of the work: Colagens de semigrupos numericosName of the event: Seminario de matemática Universidade de ÉvoraType of event: SeminarReasons for participation: Upon invitationGeographical area: European UnionCity of event: Évora, PORTUGAL,Date of event: 2013Organising entity: CIMA Type of entity: R&D CentrePEDRO ABELARDO GARCÍA SÁNCHEZ.

10 Title of the work: Propriétés préservés par collage de semi-groupes numériquesName of the event: Seminaire de geometrie algébriqueType of event: SeminarReasons for participation: Upon invitationGeographical area: European UnionCity of event: ANGERS - FRANCE,Date of event: 2013Organising entity: LAREMA Type of entity: R&D CentrePEDRO ABELARDO GARCÍA SÁNCHEZ.

11 Title of the work: Apresentações, grafos e factorizaçõesName of the event: Seminario CM-UTADType of event: SeminarReasons for participation: Upon invitationGeographical area: European UnionCity of event: Vila Real, Portugal,Date of event: 2012PEDRO ABELARDO GARCÍA SÁNCHEZ.

12 Title of the work: Catenariedades en monoides conmutativosName of the event: Seminari de Combinatòria, Teoria de Grafs i aplicacionsType of event: SeminarReasons for participation: Upon invitationGeographical area: RegionalCity of event: Barcelona,Date of event: 2012PEDRO ABELARDO GARCÍA SÁNCHEZ.

13 Title of the work: Conteo de y en semigrupos numéricosName of the event: Desafios de la matemática combinatoria 2 - GorafeCity of event: Gorafe, Granada,Date of event: 2012PEDRO ABELARDO GARCÍA SÁNCHEZ.

14 Title of the work: Semi-groupes numériques et problèmes associésName of the event: Seminaire de geometrie algébriqueType of event: Seminar

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Reasons for participation: Upon invitationGeographical area: European UnionCity of event: ANGERS - FRANCE,Date of event: 2012Organising entity: LAREMA Type of entity: R&D CentrePEDRO ABELARDO GARCÍA SÁNCHEZ.

15 Title of the work: Symmetric, pseudo-symmetric and almost symmetric numerical semigroupsName of the event: Seminario de semigrupos, autómatos e linguagemsType of event: SeminarReasons for participation: Upon invitationGeographical area: European UnionCity of event: Oporto, Norte, PortugalDate of event: 2012Organising entity: CMUP Type of entity: R&D CentrePEDRO ABELARDO GARCÍA SÁNCHEZ.

16 Title of the work: Gluings, Betti elements and factorizationsName of the event: Jornada sobre semigrupos numéricosType of event: WorkshopReasons for participation: Upon invitationGeographical area: European UnionCity of event: Badajoz,Date of event: 2011PEDRO ABELARDO GARCÍA SÁNCHEZ.

17 Title of the work: Monoides, Factorizaciones y PresentacionesName of the event: Seminario DAMACON2City of event: Granada, Andalusia, SpainDate of event: 2011

18 Title of the work: Monoides, factorizaciones y presentacionesName of the event: Seminario de desafíos de la matemática combinatoria 2City of event: . UNIVERSIDAD DE GRANADA. GRANADA,Date of event: 2011PEDRO ABELARDO GARCÍA SÁNCHEZ.

19 Title of the work: Presentaciones de monoides que verifican la condición de cadena ascendente paraideales principalesName of the event: Seminario de Matemáticas UCAType of event: SeminarReasons for participation: Upon invitationGeographical area: RegionalCity of event: Puerto Real,Date of event: 2011PEDRO ABELARDO GARCÍA SÁNCHEZ.

20 Title of the work: Factorizations in uniquely presented finitely generated monoidsName of the event: Mathematische seminarReasons for participation: Upon invitationGeographical area: European Union

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City of event: Graz, AustriaDate of event: 2010Organising entity: Insitut für Mathematik undWissenschafliches rechnen


21 Title of the work: Factorizações e apresentaçõesName of the event: Seminário CIMA/DMATReasons for participation: Upon invitationGeographical area: European UnionCity of event: Évora, Alentejo, PortugalDate of event: 2010Organising entity: CIMA Type of entity: R&D CentrePedro A. García Sánchez.

22 Title of the work: Semigrupos numéricos: un abanico de problemas fáciles de formular y entenderName of the event: Seminario grupo "Geometría Algebraica y Diferencial. Álgebra Computacional"Reasons for participation: Upon invitationGeographical area: NationalCity of event: Badajoz, Extremadura, SpainDate of event: 2009Organising entity: Universidad de Extremadura Type of entity: UniversityPedro A. García Sánchez.

23 Title of the work: Tres sesiones con semigrupos numéricosName of the event: Seminario de Geometría Tórica VReasons for participation: Upon invitationGeographical area: NationalCity of event: Jarandilla de la Vera, Extremadura, SpainDate of event: 2008Organising entity: Universidad de Extremadura Type of entity: UniversityPedro A. García Sánchez. Available on-line at:<http://matematicas.unex.es/~ojedamc/jarandilla08/pdf/garcia_sanchez.pdf>.

24 Title of the work: Numerical semigroups (mini-curso 3 horas)Name of the event: Minicourse CMUPReasons for participation: Upon invitationGeographical area: European UnionCity of event: Oporto, Norte, PortugalDate of event: 2006Organising entity: CMUP Type of entity: R&D Centre"Numerical semigroups mini-course". Available on-line at:<http://cmup.fc.up.pt/cmup/v2/include/filedb.php?id=117&table=publicacoes&field=file>.

25 Title of the work: Factorization problems on commutative monoidsName of the event: Seminário de Álgebra do CAULType of event: SeminarReasons for participation: Upon invitationGeographical area: European UnionCity of event: Lisboa, Lisboa, PortugalDate of event: 2005Organising entity: CAUL Type of entity: R&D Centre

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26 Title of the work: Medidas para determinar lo lejos que estamos de tener factorización únicaName of the event: Seminario SINGACOMType of event: SeminarReasons for participation: Upon invitationGeographical area: Non EU InternationalCity of event: Valladolid, Castile and León, SpainDate of event: 2005Organising entity: Departamento de Álgebra,Geometría y Topología, Universidad de Valladolid -SINGACOM

Type of entity: University Department


27 Title of the work: System proportionally modular numerical semigroupsName of the event: Seminário de Semigrupos do CAULType of event: SeminarReasons for participation: Upon invitationGeographical area: European UnionCity of event: Lisboa, Lisboa, PortugalDate of event: 2005Organising entity: CAUL Type of entity: R&D Centre

28 Title of the work: Systems of linear Diophantine equationsName of the event: Seminário DMAT/CIMA/Mestrado em Matemática AplicadaType of event: SeminarReasons for participation: Upon invitationGeographical area: Non EU InternationalCity of event: Évora, Alentejo, PortugalDate of event: 2005Organising entity: CIMA Type of entity: R&D CentrePedro A. García Sánchez.

29 Title of the work: Solving systems of linear equations over the nonnegative integersName of the event: Majors' seminarType of event: SeminarReasons for participation: Upon invitationGeographical area: Non EU InternationalCity of event: San Antonio, United States of AmericaDate of event: 2001Organising entity: Trinity University San Antonio Type of entity: University

30 Title of the work: Presentaciones de submonoides finitamente generados de monoides finitamentegenerados y aplicacionesName of the event: II Jornada sobre Geometría-TóricaType of event: WorkshopReasons for participation: Upon invitationGeographical area: NationalCity of event: Sevilla, Andalusia, SpainDate of event: 03/11/2000Organising entity: Universidad de Sevilla Type of entity: UniversityPedro A. García Sánchez.

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31 Title of the work: Algorithms for atomic commutatative monoidsName of the event: Matematische ColloquiumType of event: SeminarReasons for participation: Upon invitationGeographical area: Non EU InternationalCity of event: Bremen, GermanyDate of event: 2000Organising entity: Universitat Bremen Type of entity: University

32 Title of the work: Finitely generated commutative cancellative monoidsName of the event: Seminário de Semigrupos do CMUPType of event: SeminarReasons for participation: Upon invitationGeographical area: Non EU InternationalCity of event: Oporto, Norte, PortugalDate of event: 1999Organising entity: CMUP Type of entity: R&D CentrePedro A. García Sánchez.

33 Title of the work: Presentations of finitely generated commutative monoidsName of the event: Seminário de Álgebra do CMUPType of event: SeminarReasons for participation: Upon invitationGeographical area: Non EU InternationalCity of event: Oporto, Norte, PortugalDate of event: 1999Organising entity: CMUP Type of entity: R&D CentrePedro A. García Sánchez.

34 Title of the work: Finitely generated commutative cancellative monoidsName of the event: Mathematics seminarType of event: SeminarReasons for participation: Upon invitationGeographical area: Non EU InternationalCity of event: Licoln, United States of AmericaDate of event: 1998Organising entity: Department of Mathematics andStatistics, University of Nebraska Lincoln

Type of entity: University Department


35 Title of the work: Involutive Approach for computing Gröbner bases. The Problem of PositivedimensionalIdealsName of the event: RISC ForumType of event: WorkshopCity of event: Hagenberg, AustraliaDate of event: 1994Organising entity: RISC Type of entity: R&D CentrePedro A. Garcia Sánchez.

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R&D management and participation in scientific committees

Organization of R&D activities

1 Title of the activity: YAPC::EU 2015Type of activity: International MeetingConvening entity: Universidad de Granada Type of entity: UniversityType of participation: OrganiserNº assistants: 300Start-End date: 31/08/2015 - 05/09/2015

2 Title of the activity: Special session: Commutative Monoids in Joint International Meeting of the American,European and Portuguese Mathematical SocietiesType of activity: International MeetingConvening entity: AMS-EMS-SPMCity convening entity: Porto, Norte, PortugalType of participation: Coorganizer special sessionStart-End date: 10/06/2015 - 13/06/2015

3 Title of the activity: INdAM meeting: International meeting on numerical semigroups - Cortona 2014Type of activity: international meeting Geographical area: Non EU InternationalConvening entity: INdAM Type of entity: Public Research BodyCity convening entity: Cortona, Toscana, ItalyType of participation: OrganiserStart-End date: 07/09/2014 - 13/09/2014 Duration: 6 days

4 Title of the activity: Seminario semigrupos numéricos Jerez - 2013Type of activity: Jornadas Geographical area: European UnionCity of event: Jerez de la Frontera, Andalusia, SpainType of participation: OrganiserNº assistants: 15Start-End date: 15/07/2013 - 16/07/2013 Duration: 2 days

5 Title of the activity: Iberian meeting on numerical semigroups – Vila Real 2012Type of activity: Encuentro científico Geographical area: Non EU InternationalCity of event: Vila Real, Norte, PortugalType of participation: OrganiserNº assistants: 44Start-End date: 18/07/2012 - 20/07/2012 Duration: 3 days

6 Title of the activity: Seminario semigrupos numéricos Cádiz - 2011Type of activity: Jornadas Geographical area: RegionalCity of event: Puerto Real, Andalusia, SpainType of participation: OrganiserStart-End date: 18/04/2011 - 20/04/2011 Duration: 3 days

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7 Title of the activity: Seminario semigrupos numéricos Almería - 2010Type of activity: Jornadas Geographical area: European UnionType of participation: OrganiserStart-End date: 19/07/2010 - 23/07/2010 Duration: 5 days

8 Title of the activity: Iberian meeting on numerical semigroups – Granada 2010Type of activity: Encuentro científico Geographical area: Non EU InternationalCity of event: Granada, Andalusia, SpainType of participation: OrganiserNº assistants: 64Start-End date: 03/02/2010 - 05/02/2010 Duration: 3 days

9 Title of the activity: Iberian meeting on numerical semigroups – Porto 2008Type of activity: Encuentro científico Geographical area: Non EU InternationalCity of event: Oporto, Norte, PortugalType of participation: OrganiserNº assistants: 43Start-End date: 17/03/2008 - 19/03/2008 Duration: 3 days

Evaluation and revision of R&D projects and articles

Name of the activity: Experto Agence nationale de la recherchePerformed tasks: EvaluadorEntity where activity was carried out: Agence nationale de la rechercheCity of entity: FranceStart-End date: 09/01/2012 - 10/10/2012

Other achievements

Stays in public or private R&D centres

1 Entity: San Diego State University Type of entity: UniversityCity of entity: San Diego, United States of AmericaStart-End date: 14/06/2014 - 21/06/2014 Duration: 7 daysGoals of the stay: ContractedProvable tasks: Research conductor for undergraduates (REU program)

2 Entity: Università degli Studi di Catania Type of entity: UniversityCity of entity: Catania, Sicilia, ItalyStart-End date: 12/04/2014 - 18/04/2014 Duration: 6 daysGoals of the stay: ERASMUSProvable tasks: Teaching - Research

3 Entity: LAREMA Type of entity: University Research InstituteCity of entity: Angers, FranceStart-End date: 31/03/2014 - 05/04/2014 Duration: 6 daysGoals of the stay: GuestProvable tasks: Research

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4 Entity: Universidad de Cádiz Type of entity: UniversityFaculty, institute or centre: Facultad de Ciencias Sociales y de la ComunicaciónStart-End date: 24/10/2012 - 05/12/2012Goals of the stay: Estancia investigación

5 Entity: Universidad de Cantabria Type of entity: UniversityFaculty, institute or centre: Facultad de CienciasStart-End date: 01/03/1995 - 31/03/1995Goals of the stay: Investigación y formación

6 Entity: Universidad Johanes Kepler Type of entity: R&D CentreFaculty, institute or centre: RISCCity of entity: Hagenberg, AustriaStart-End date: 01/03/1994 - 31/03/1994Goals of the stay: Erasmus

7 Entity: LAREMACity of entity: Laboratoire Angevin de Recherche en Mathématiques, Angers, Francia,Start date: 26/03/2012 Duration: 30 daysGoals of the stay: ContractedProvable tasks: Estancia en LAREMA. Laboratoire Angevin de Recherche en Mathématiques, Angers,FranciaAcquired skills developed: Investigación con el profesor Abdallah Assi

Other types of collaboration with researchers or technologists

1 Name principal investigator (PI, Co-PI....): PEDRO ABELARDO GARCÍA SÁNCHEZDescription of the collaboration: Miembro asociado al CMUPCity: Oporto, Norte, PortugalStart date: 01/03/2012

2 Name principal investigator (PI, Co-PI....): PEDRO ABELARDO GARCÍA SÁNCHEZDescription of the collaboration: Colaborador del Centro de Matemática de la UTADCity: Vila Real, Norte, PortugalStart date: 01/01/2007

Documents

CVN - Pedro Abelardo García Sáncheziemath/cms/wp-content/uploads/... · This electronic file (PDF) has embedded CVN technology (CVN-XML). The CVN technology of this file allows