13Axx General commutative ring theory
- 13A02 Graded rings, See also {16W50}
- 13A05 Divisibility
- 13A10 Radical theory
- 13A15 Ideals; multiplicative ideal theory
- 13A18 Valuations and their generalizations
- 13A20 Brauer groups, See also {12Gxx, 16H05}
- 13A30 Associated graded rings of ideals (Rees ring, form ring) and related topics
- 13A35 Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$, See also {13Mxx}
- 13A50 Invariant theory, See also {14D25}
- 13A99 None of the above but in this section
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