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  • 13-XX Commutative algebra
  • 13Fxx Arithmetic rings and other special rings
  • 13F10 Principal ideal rings

13Fxx Arithmetic rings and other special rings

  • 13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations
  • 13F07 Euclidean rings and generalizations
  • 13F10 Principal ideal rings
  • 13F15 Rings defined by factorization properties (e.g., atomic, factorial, half-factorial)
  • 13F20 Polynomial rings and ideals; rings of integer-valued polynomials
  • 13F25 Formal power series rings
  • 13F30 Valuation rings
  • 13F35 Witt vectors and related rings
  • 13F40 Excellent rings
  • 13F45 Seminormal rings
  • 13F50 Rings with straightening laws, Hodge algebras
  • 13F55 Stanley-Reisner face rings; simplicial complexes
  • 13F60 Cluster algebras
  • 13F99 None of the above, but in this section
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