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Mathematical Sciences Classification System

13Axx - General commutative ring theory

• 4
  13A02
  Graded rings [See also 16W50]
• 2
  13A05
  Divisibility; factorizations [See also 13F15]
• 13A10
  Radical theory
• 5
  13A15
  Ideals; multiplicative ideal theory
• 4
  13A18
  Valuations and their generalizations [See also 12J20]
• 2
  13A30
  Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics
• 3
  13A35
  Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure [See also 13B22]
• 18
  13A50
  Actions of groups on commutative rings; invariant theory [See also 14L24]
• 13A99
  None of the above, but in this section