Algebra (Translation of Cours d'algèbre) - download pdf or read online

By Roger Godement

Show description

Read Online or Download Algebra (Translation of Cours d'algèbre) PDF

Best mathematics books

New PDF release: Letters to a Young Mathematician

Idea and information for aspiring mathematicians

New PDF release: Insights into Teaching Mathematics (Continuum Collection)

Delivering crucial suggestions and heritage information regarding educating arithmetic, this booklet is meant quite for lecturers who don't regard themselves as experts in arithmetic. It offers with problems with studying and educating, together with the supply of content material and where of difficulties and investigations.

Additional resources for Algebra (Translation of Cours d'algèbre)

Example text

Let (0) c Q' ~ N' that lies over nary). ,Nh} } known that there exist that be a saturated infinitely many height one q' ~ U = (U{N" and N' ~ M]) {q'MR ; q' ~ N' of them have height one, by ; N" E I})U(U{M S in is cate- Assume it is q' E Spec S ; M S such is a maximal Then there are infinitely many pri~ne and q' ~ U} , and all but finitely many [Mc-l, T h e o r e m 7]. depth q'NR = depth q' = depth N' + 1 , since Also, q' q'NR c N is contained and in a 33 maximal ideal Therefore M existence and S only if q' ~_ U[N" and since ; N" E I} Therefore of infinitely many height one S is catenary.

4). 5), level. ideal in Then R' altitude R > i H-local domain.

Depth PI = depth P + i = 2 . is not catenary. (with ideal in and let of this. 5) be a local domain, h > i . height PI -<- h - I . pose that R such that number of repetitions and let and depth one prime holds, clearly, holds, L = RSN L' = (R')(RS_N) to prove that L , where ideal in such that is an N let Rs be is a maximal L , and let p'NL = p , so H-domain, it may clearly 26 be assumed that altitude = altitude L - 1 , as will now be shown. 5). 4), R holds. 4) is catenary, , then if N' L' by height M' E over R , is a maximal L = altitude , so R} .

Download PDF sample

Algebra (Translation of Cours d'algèbre) by Roger Godement

by Thomas

Rated 4.58 of 5 – based on 40 votes