La Classification Mathématique par matières 2000
Mathematics subject Classification 2000
Question : CC = Categories
08-XX General algebraic systems
13-XX Commutative rings and algebras
- 13Dxx Homological methods [For noncommutative rings, see 16Exx; for general categories, see 18Gxx]
16-XX Associative rings and algebras [For the commutative case, see 13-XX]
- 16D90 Module categories [See also 16Gxx, 16S90]; module theory in a category-theoretic context; Morita equivalence and duality
- 16Exx Homological methods [For commutative rings, see 13Dxx; for general categories, see 18Gxx]
- 16N80 General radicals and rings [For radicals in module categories, see 16S90]
- 16S90 Maximal ring of quotients, torsion theories, radicals on module categories [See also 13D30, 18E40] [For radicals of rings, see 16Nxx]
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]
- 18Axx General theory of categories and functors
- 18A10 Graphs, diagram schemes, precategories [See especially 20L05]
- 18A25 Functor categories, comma categories
- 18A35 Categories admitting limits (complete categories), functors preserving limits, completions
- 18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
- 18Bxx Special categories
- 18B15 Embedding theorems, universal categories [See also 18E20]
- 18B20 Categories of machines, automata, operative categories [See also 03D05, 68Qxx]
- 18B30 Categories of topological spaces and continuous mappings [See also 54-XX]
- 18B35 Preorders, orders and lattices (viewed as categories) [See also 06-XX]
- 18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories) [See also 20Axx, 20L05, 20Mxx]
- 18Cxx Categories and theories
- 18C05 Equational categories [See also 03C05, 08C05]
- 18C20 Algebras and Kleisli categories associated with monads
- 18C35 Accessible and locally presentable categories
[Nouveau code MSC 2000]
- 18Dxx Categories with structure
- 18D05 Double categories, 2-categories, bicategories and generalizations
- 18D10 Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23]
- 18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.)
- 18D20 Enriched categories (over closed or monoidal categories)
- 18D30 Fibered categories
- 18Exx Abelian categories
- 18E05 Preadditive, additive categories
- 18E10 Exact categories, abelian categories
- 18E15 Grothendieck categories
- 18E30 Derived categories, triangulated categories
- 18E35 Localization of categories
- 18Fxx Categories and geometry
- 18F05 Local categories and functors
19-XX $K$-theory [See also 16E20, 18F25]
- 19D23 Symmetric monoidal categories [See also 18D10]
20-XX Group theory and generalizations
- 20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms) [For sets with a single binary operation, see 20N02; for topological groupoids, see 22A22, 58H05]
46-XX Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]
55-XX Algebraic topology
- 55U40 Topological categories, foundations of homotopy theory
Retour à la page Classification Mathématique par Matières (version 2000)
|