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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

28 votes

Nontrivial theorems with trivial proofs

Let me add to this long list the famous Nakayama lemma, a crucial result in commutative algebra, and whose original claim is as follows: Let $(R,\mathfrak m)$ be a local ring and $M$ a finitely g …
5 votes

Errata for Atiyah–Macdonald

Page 118, line 16, Example: Poincaré series should be $P(A,t)=(1-t)^{-s}l(A_0)$.