La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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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
  • 16P10 Finite rings and finite-dimensional algebras [For semisimple, see 16K20; for commutative, see 11Txx, 13Mxx]
  • 16P20 Artinian rings and modules
  • 16P40 Noetherian rings and modules
  • 16P50 Localization and Noetherian rings [See also 16U20]
  • 16P60 Chain conditions on annihilators and summands: Goldie-type conditions [See also 16U20], Krull dimension
  • 16P70 Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence
  • 16P90 Growth rate, Gelfand-Kirillov dimension
  • 16P99 None of the above, but in this section
• 16Rxx Rings with polynomial identity
• 16Sxx Rings and algebras arising under various constructions
• 16Uxx Conditions on elements
• 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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