View
213
Download
0
Category
Preview:
Citation preview
Solution A point veV ith Guntur L Is given bya k morphism KUT k and since there is
a unique k morphism kCx74 Is k sending Go 04
a k corpus kCv7 Kaycee gives a point4 p
v k u Koike k by co positron
The vong healer is a local ring wobu maximal
ideal x x a is convertible hen or a unit sauce x ascxtase a
and G x poll O mu Hence Mf is sent to
e o in kcxyc.ir and we have a napm lung G Keisler K
TAs a k vector space
This is an elen of mYmi Tune
EE Thepwmer.de t K
Let B be a PID and K _FrucB Then the pukeideals of BCD are of the Lom
Iii 0
Lii f for LeBG irreducible or
Liii in maximal and on this case m r's of core
fun pig here pEB irreducible and
glmodp E.BG lp is irreducible
proud Let P be a prime ideal in BCA Weh is
not principal Then P cowbadus two elem aobEB.ES
that are relatively prime By Guauss henna they
also have no coin o tutor in KCET cleaningdenominators Hence there are dem Satoko
Sa bb L
and if DEB is a common denominator for
S and G then dlsattb d E B so
a b n B E Ph B 1 0
Hence PhD Is a non zero prune Ideal of B
but B e's a RID so PNB is maximal
Hence PNB p for some inved pEBWe know that yep D Ilm is a PhD glue
Bhp is a field Hence Pkp is principal and gun
by some irred af Let g am elen napping Go
g under P Php Then P pig I
Recommended