Mathematical Sciences Classification System

16Sxx - Rings and algebras arising under various constructions

  • 16S10
    Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
  • 16S15
    Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting)
  • 16S20
    Centralizing and normalizing extensions
  • 3
    16S30
    Universal enveloping algebras of Lie algebras [See mainly 17B35]
  • 1
    16S32
    Rings of differential operators [See also 13N10, 32C38]
  • 18
    16S34
    Group rings [See also 20C05, 20C07], Laurent polynomial rings
  • 2
    16S35
    Twisted and skew group rings, crossed products
  • 2
    16S36
    Ordinary and skew polynomial rings and semigroup rings [See also 20M25]
  • 3
    16S37
    Quadratic and Koszul algebras
  • 5
    16S38
    Rings arising from non-commutative algebraic geometry [See also 14A22]
  • 2
    16S40
    Smash products of general Hopf actions [See also 16T05]
  • 6
    16S50
    Endomorphism rings; matrix rings [See also 15-XX]
  • 16S60
    Rings of functions, subdirect products, sheaves of rings
  • 16S70
    Extensions of rings by ideals
  • 1
    16S80
    Deformations of rings [See also 13D10, 14D15]
  • 16S85
    Rings of fractions and localizations [See also 13B30]
  • 2
    16S90
    Torsion theories; radicals on module categories [See also 13D30, 18E40] {For radicals of rings, see 16Nxx}
  • 16S99
    None of the above, but in this section

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