Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I started to study localization of rings and Noetherian and Artinian rings. Do you know any good references for these subjects? I'm using the one by Atiyah and Mcdonald. Is there another one? Thank you.

share|cite|improve this question

closed as not a real question by YACP, Micah, tomasz, Davide Giraudo, Dominic Michaelis Mar 7 '13 at 22:48

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

 Try Matsumura's "Commutative algebra"(note that this one is different from the book "Commutative Ring Theory"), however it's very advanced. For a more verbose approach, try "Commutative Algebra: with a view toward Algebraic Geometry" by Eisenbud, however I still thinking that Atiyah and Macdonald's book is one of the bests.

share|cite|improve this answer

There are plenty of books that cover this

share|cite|improve this answer
I've found that Sharp's book is very verbose, sometimes to a fault. There's a nice median somewhere in between Atiyah & Macdonald and Sharp that I've yet to see in a commutative algebra book. – JSchlather Feb 1 '13 at 19:37
@JacobSchlather Yes, that might be the case but on the other hand there are also fresher materials in Sharps book. I like all of the above books for different reasons. – AD. Feb 2 '13 at 7:41

If you're just looking for the basics, then virtually any algebra book has the basics of these.

If you really need specifics, then Isaacs algebra book talks at length about Artinian and Noetherian rings.

For localization, any good commutative algebra book will do: Matsumura, Eisenbud, Lang, Grillet, Jacobson...

share|cite|improve this answer

Algebra, Rings and Modules by Michiel Hazewinkel (et al.) is quite nice. It should cover everything you need and more.

share|cite|improve this answer

Not the answer you're looking for? Browse other questions tagged or ask your own question.