>>7799887 Algebraic Geometry scares me, seems like it's predominately related to ring theory, which I wasn't a fan of, Algebraic Topology is predominately homological algebra which is a cool as fuck field.
>>7799892 Rings are dual to affine schemes, so ring theory and algebraic geometry are basically the same thing. It's interesting though, because you can reinterpret properties of rings as geometric properties. For instance, product rings are the same thing as disconnected spaces.
>>7799944 It depends how advanced you are. When I learned it, the book Undergraduate Commutative Algebra by Miles Reid was good for me. It's a serious book, and it contains serious topics like primary decomposition, Nullstelensats, noether normalization, etc. and lots of good algebraic geometry exercises.
Commutative Algebra by Atiyah and Mcdonald is harder and more algebraic (not much geometry). It was too hard for me when I first looked at it, but after going through Reid's book I found it to be good.
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