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13Axx

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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 [See also 12J20]
  • 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 [See also 13B22]
  • 13A50 Actions of groups on commutative rings; invariant theory [See also 14L24]
  • 13A99 None of the above, but in this section