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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