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There are Counterexamples in Analysis and Counterexamples in Topology. Is there any similar book for commutative algebra? I want to see some more (counter)examples for Atiyah and MacDonald's book. Let us say "zoo" of rings and modules.

Sebastian Goette
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Chilly Willy
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  • You may be interested in http://mathoverflow.net/questions/29006/counterexamples-in-algebra although 1) it's not a book, and 2) it's not restricted to commutative. There are also a couple of linked/related questions at that page. – Gerry Myerson Nov 29 '15 at 23:17

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The best I can think of is Harry Clayton Hutchins' "Examples of Commutative Rings" published by UChicago Press (he was a student of Kaplansky). The second part of the book is just a long list of rings satisfying strange properties ("this, this and this, but not that"). The one difference with counterexamples in top is the lack of a good index/table putting everything together, so it can be (quite) hard to find a specific example.

Juan Villeta-Garcia
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