Solutions to Atiyah and MacDonald’s Introduction to. Commutative Algebra. Athanasios Papaioannou. August 5, Introduction to. Commutative Algebra. M. F. ATIYAH, FRS. I. G. MACDONALD. UNIVERSITY OF OXFORD. I. ADDISON-WESLEY PUBLISHING COMPANY. Atiyah and Macdonald explain their philosophy in their introduction. Two radicals of a ring are commonly used in Commutative Algebra: the.
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The second part of 5. In the text itself, point-set topology is most prominent in the chapter on completions but you will need point-set topology for the exercises as well. And it doesn’t seem that a radical ideal should automatically be decomposable.
Thank you for your patience. Sign up or log in Sign up using Google. Sign up using Email and Password. On page 41 in the proof of proposition 3.
A-M defines embedded primes for decomposable ideals only.
commutative algebra – Atiyah-Macdonald Exercises – Mathematics Stack Exchange
I suggest the following restatement: Later, in Corollary 3. The part on page 69 is trivial, but the part on page 70 still exercise 17 is the weak form of the Nullstellensatz. The reason I got so many was not because I posted commutativf. Dear Tim, let me clarify my point of view.
I wouldn’t call A-M dry. The first part of 5. This follows directly from Exercise 5. Evidently I was wrong. That’s what I’ve heard a lot of people say that A-M is very dry, what about this Eisenbud text?
This implication is certainly proved by, e. Oct 18 ’10 at The proof still goes through. OhI should have mentioned Birch and Tate in my list of bigshots I approached directly, and I’m sure there are others I’ve forgotten. I really pushed to make the errata, and, because I had a deadline myself the LMS wanted to republish with the errata in I had to push the people I was asking.
reference request – Prerequisites for Atiyah Macdonald – Mathematics Stack Exchange
I think this question should be community wiki. What I can’t do is to obtain the second part of 5. Prerequisites for Atiyah Macdonald Ask Question. Sign up using Email and Password.
Thanks, by the way I think this would mean reading a lot on galois theory and things like that, which would mean at least Algebra II for me.
Post as a guest Name. It is however a good book, one of the best I’ve read.