La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour aux chapitres de la classification 18-XX Category theory; homological algebra [For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology]
- 18-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 18-01 Instructional exposition (textbooks, tutorial papers, etc.)
- 18-02 Research exposition (monographs, survey articles)
- 18-03 Historical (must also be assigned at least one classification number from Section 01)
- 18-04 Explicit machine computation and programs (not the theory of computation or programming)
- 18-06 Proceedings, conferences, collections, etc.
- 18-99 Category theory, homological algebra (not classified at a more specific level)
- 18Axx General theory of categories and functors
- 18Bxx Special categories
- 18Cxx Categories and theories
- 18C05 Equational categories [See also 03C05, 08C05]
- 18C10 Theories (e.g. algebraic theories), structure, and semantics [See also 03G30]
- 18C15 Triples (= standard construction, monad or triad), algebras for a triple, homology and derived functors for triples [See also 18Gxx]
- 18C20 Algebras and Kleisli categories associated with monads
- 18C30 Sketches and generalizations [Nouveau code MSC 2000]
- Code MSC1991 affilié : 18C10
- 18C35 Accessible and locally presentable categories [Nouveau code MSC 2000]
- 18C50 Categorical semantics of formal languages [See also 68Q55, 68Q65] [Nouveau code MSC 2000]
- 18C99 None of the above, but in this section
- 18Dxx Categories with structure
- 18Exx Abelian categories
- 18Fxx Categories and geometry
- 18Gxx Homological algebra [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx]
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