Mathematical Sciences Classification System

13Fxx - Arithmetic rings and other special rings

  • 3
    13F05
    Dedekind, Prüfer, Krull and Mori rings and their generalizations
  • 13F07
    Euclidean rings and generalizations
  • 13F10
    Principal ideal rings
  • 4
    13F15
    Rings defined by factorization properties (e.g., atomic, factorial, half-factorial) [See also 13A05, 14M05]
  • 5
    13F20
    Polynomial rings and ideals; rings of integer-valued polynomials [See also 11C08, 13B25]
  • 4
    13F25
    Formal power series rings [See also 13J05]
  • 2
    13F30
    Valuation rings [See also 13A18]
  • 1
    13F35
    Witt vectors and related rings
  • 13F40
    Excellent rings
  • 13F45
    Seminormal rings
  • 1
    13F50
    Rings with straightening laws, Hodge algebras
  • 5
    13F55
    Stanley-Reisner face rings; simplicial complexes [See also 55U10]
  • 4
    13F60
    Cluster algebras
  • 13F99
    None of the above, but in this section

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