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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]
• 7
  16S50
  Endomorphism rings; matrix rings [See also 15-XX]
• 16S60
  Rings of functions, subdirect products, sheaves of rings
• 16S70
  Extensions of rings by ideals
• 2
  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