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

  • 16-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 16-01 Instructional exposition (textbooks, tutorial papers, etc.)
  • 16-02 Research exposition (monographs, survey articles)
  • 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)
  • 16-06 Proceedings, conferences, collections, etc.
  • 16Bxx General and miscellaneous
  • 16Dxx Modules, bimodules and ideals
  • 16Exx Homological methods {For commutative rings, see 13Dxx; for general categories, see 18Gxx}
  • 16Gxx Representation theory of rings and algebras
  • 16Hxx Algebras and orders {For arithmetic aspects, see 11R52, 11R54, 11S45; for representation theory, see 16G30}
  • 16H05 Orders and arithmetic, separable algebras, Azumaya algebras [See also 11R52, 11R54, 11S45]
  • 16Kxx Division rings and semisimple Artin rings [See also 12E15, 15A30]
  • 16Lxx Local rings and generalizations
  • 16Nxx Radicals and radical properties of rings
  • 16Pxx Chain conditions, growth conditions, and other forms of finiteness
  • 16Rxx Rings with polynomial identity
  • 16Sxx Rings and algebras arising under various constructions
  • 16Txx Hopf algebras, quantum groups and related topics
  • 16Uxx Conditions on elements
  • 16Wxx Rings and algebras with additional structure
  • 16Yxx Generalizations {For nonassociative rings, see 17-XX}
  • 16Zxx Computational aspects of associative rings