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13Axx - General commutative ring theory

13A02 - Graded rings
13A05 - Divisibility
13A10 - Radical theory
13A15 - Ideals; multiplicative ideal theory
13A18 - Valuations and their generalizations
13A30 - Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics
13A35 - Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure
13A50 - Actions of groups on commutative rings; invariant theory
13A99 - Miscellaneous
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