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