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  • 13-XX Commutative algebra
  • 13Axx General commutative ring theory
  • 13A18 Valuations and their generalizations

13Axx General commutative ring theory

  • 13A02 Graded rings
  • 13A05 Divisibility; factorizations
  • 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 None of the above, but in this section
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