La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Retour aux chapitres de la classification

16-XX Associative rings and algebras [For the commutative case, see 13-XX]

• 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.
• 16-99 Associative rings and algebras (not classified at a more specific level)
• 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
• 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
• 16Uxx Conditions on elements
• 16Wxx Rings and algebras with additional structure
  • 16W10 Rings with involution; Lie, Jordan and other nonassociative structures [See also 17B60, 17C50, 46Kxx]
  • 16W20 Automorphisms and endomorphisms
  • 16W22 Actions of groups and semigroups; invariant theory [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 16W20
  • 16W25 Derivations, actions of Lie algebras
  • 16W30 Coalgebras, bialgebras, Hopf algebras [See also 16S40, 57T05]; rings, modules, etc. on which these act
  • 16W35 Ring-theoretic aspects of quantum groups [See also 17B37, 20G42, 81R50] [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 16W30
  • 16W50 Graded rings and modules
  • 16W55 ``Super'' (or ``skew'') structure [See also 17A70, 17Bxx, 17C70] [For exterior algebras, see 15A75; for Clifford algebras, see 11E88, 15A66]
  • 16W60 Valuations, completions, formal power series and related constructions [See also 13A18, 13F25, 13J10]
  • 16W70 Filtered rings; filtrational and graded techniques [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 16W60
  • 16W80 Topological and ordered rings and modules [See also 06F25, 13Jxx]
  • 16W99 None of the above, but in this section
• 16Yxx Generalizations [For nonassociative rings, see 17-XX]
• 16Z05 Computational aspects of associative rings [See also 68W30] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 16-04

Retour à la page Classification Mathématique par Matières (version 2000)