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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.

42 votes

Analogues of P vs. NP in the history of mathematics

The set of theorems in (what now we call) "absolute geometry" and the set of theorems of "euclidean geometry". That is, the history of the parallel postulate. We now know (after Tarski's formalization …
9 votes

Properties of rings that have an elegant description in terms of the associated category of ...

From http://en.wikipedia.org/wiki/Injective_module Every submodule of every injective module is injective if and only if the ring is Artinian semisimple (Golan & Head 1991, p. 152); every factor modu …