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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.)
• 74
  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)
• 106
  16-06
  Proceedings, conferences, collections, etc.
• 1
  16-99
  None of the above but in this section
• (+2)
  16Bxx
  General and miscellaneous
• 43
  (+14)
  16Dxx
  Modules, bimodules and ideals
• 24
  (+22)
  16Exx
  Homological methods
  {For commutative rings, see 13Dxx; for general categories, see 18Gxx}
• 38
  (+26)
  16Gxx
  Representation theory of rings and algebras
• 2
  (+4)
  16Hxx
  Algebras and orders
  {For arithmetic aspects, see 11R52, 11R54, 11S45; for representation theory, see 16G30}
• 9
  (+10)
  16Kxx
  Division rings and semisimple Artin rings
  [See also 12E15, 15A30]
• 4
  (+2)
  16Lxx
  Local rings and generalizations
• 6
  (+4)
  16Nxx
  Radicals and radical properties of rings
• 6
  (+16)
  16Pxx
  Chain conditions, growth conditions, and other forms of finiteness
• 9
  (+2)
  16Rxx
  Rings with polynomial identity
• 19
  (+47)
  16Sxx
  Rings and algebras arising under various constructions
• 51
  (+24)
  16Txx
  Hopf algebras, quantum groups and related topics
• 4
  (+6)
  16Uxx
  Conditions on elements
• 15
  (+23)
  16Wxx
  Rings and algebras with additional structure
• 5
  (+14)
  16Yxx
  Generalizations
  {For nonassociative rings, see 17-XX}
• (+4)
  16Zxx
  Computational aspects of associative rings