I'm recently reading A&M introduction to commutative algebra, and I found that in the text, they implicitly assume I know some basic notions about category theory (for example, in the exercise, they assume I know about Tor functor). Should I know some of Category theory to read this text? If so, could you suggest some textbook or something for that?
2026-04-12 17:06:37.1776013597
How much should I know about Category theory for A&M introduction to commutative algebra?
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You'll be fine with not knowing category theory. As guidoar also says, you may want to be acquainted with basic notions like exact sequences and diagrams. It is true that some exercises in section 2 require knowledge of Tor-groups, but if you don't have that knowledge, you can probably safely skip these exercises.