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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reference request – Errata for Atiyah-Macdonald – MathOverflow

I’ll list in parentheses the page numbers of the translation where the original error still occurs for qlgebra 5 people who might care. It is a non-zero principal ideal. Sign up or log in Sign up using Google. This new statement applies to the first equality in the last display in the proof of Proposition Macdonald’s name, to avoid confusion with the less famous group theorist Ian D.

commutztive Home Questions Tags Users Unanswered. So, it’s very different to just posting once here and then sitting back and hoping which, I thinkis what is happening here, although I do apologise if I’ve got this wrong. I don’t think I’m understanding. Also, the elements of Galois theory are needed in some exercises in chapter 5, for example.

If you take something like a reduced nonnoetherian ring with infinitely many minimal prime ideals, I expect the zero ideal will be radical but not decomposable What’s a finite subject? Is there any source available online which lists inaccuracies and gaps? A knowledge of the following results: Algera page 91, the second line in the second Example should refer to Proposition 8.

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It is however a good book, one of the best I’ve read. This is, I think, the classical definition. Aside from this, I think it’s pointless to use this site to assemble errata for a book.

I voted for the question and for Matt E’s answer. Let m be a maximal ideal of A: This implication is certainly proved by, e. I suggest the following restatement: Post as a guest Name. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

A-M defines embedded primes for decomposable ideals only. Eisenbud is very vividly written with more examples than A-M and good exercises his presentation is also more geometric.

Sorry to resurrect this thread, but this error and its absence from this list confused a friend on Math SE. As for the topology prerequisites maybe Munkres can help to cover that The most important prerequisites are point-set topology and the theory of fields.

conmutative MathOverflow works best with JavaScript enabled. The translation is usually 11 page numbers ahead of the original. Definitions of groups, subgroups, cyclic and normal subgroups, the symmetric group, homomorphisms, isomorphisms, The Correspondence Theorem, Product and Quotient Groups.

Commutative Algebra

Is there a good errata for Atiyah-Macdonald available? It was because I asked for errata in many places rather than just here, all at the same timebut, crucially, I also approached several high-profile people personally Hendrik Lenstra, Rene Schoof, J.

Sign up using Email and Macdnoald. Page 39, last line: I am currently doing a one semester course on groups and rings where we have learned about so far:.

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When I wrote the comment, I just wanted to add this little detail to your excellent answer. I don’t think a page of Eisenbud and a page of Atiyah—Macdonald are comparable in any meaningful sense. On page 29, the example at the top has two typos: Shouldn’t somebody make inttoduction with Sir Atiyah? To clarify, the text of 5.

The proof still goes through. Serre, the Conrads [before, I think, they were MO-active] and others and asked them if they had anything to send me By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. As your list is pretty detailed and nearly complete, let me mention a missing detail: You will need to know the definitions of ideals, fields, and some basic group theory.

The second part of 5. And it doesn’t seem that a radical ideal should automatically be decomposable. The amount of commutative algebra one learns from this small, slender, book, with its hundreds of exercises, has always fascinated introcuction.

Since the book doesn’t use or indeed, mention this language, it seems an answer should be possible without utilizing it; and unfortunately, that’s all I would understand at the moment.