La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour 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
- 16U10 Integral domains
- 16U20 Ore rings, multiplicative sets, Ore localization
- 16U30 Divisibility, noncommutative UFDs
- 16U60 Units, groups of units
- 16U70 Center, normalizer (invariant elements)
- 16U80 Generalizations of commutativity
- 16U99 None of the above, but in this section
- 16Wxx Rings and algebras with additional structure
- 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
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