Mathematical Sciences Classification System

16-XX - Associative rings and algebras {For the commutative case, see 13-XX}

  • 9
    16-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 71
    16-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 7
    16-02
    Research exposition (monographs, survey articles)
  • 5
    16-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 16-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 104
    16-06
    Proceedings, conferences, collections, etc.
  • 1
    16-99
    None of the above but in this section
  • (+2)
    General and miscellaneous
  • 39
    (+13)
    Modules, bimodules and ideals
  • 24
    (+22)
    Homological methods
    {For commutative rings, see 13Dxx; for general categories, see 18Gxx}
  • 38
    (+26)
    Representation theory of rings and algebras
  • 1
    (+4)
    Algebras and orders
    {For arithmetic aspects, see 11R52, 11R54, 11S45; for representation theory, see 16G30}
  • 9
    (+10)
    Division rings and semisimple Artin rings
    [See also 12E15, 15A30]
  • 3
    (+2)
    Local rings and generalizations
  • 6
    (+4)
    Radicals and radical properties of rings
  • 6
    (+16)
    Chain conditions, growth conditions, and other forms of finiteness
  • 9
    (+2)
    Rings with polynomial identity
  • 19
    (+45)
    Rings and algebras arising under various constructions
  • 51
    (+24)
    Hopf algebras, quantum groups and related topics
  • 4
    (+6)
    Conditions on elements
  • 15
    (+23)
    Rings and algebras with additional structure
  • 5
    (+13)
    Generalizations
    {For nonassociative rings, see 17-XX}
  • (+4)
    Computational aspects of associative rings

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