Mathematical Sciences Classification System

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}

  • 7
    18-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 37
    18-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 7
    18-02
    Research exposition (monographs, survey articles)
  • 1
    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)
  • 39
    18-06
    Proceedings, conferences, collections, etc.
  • 14
    (+12)
    General theory of categories and functors
  • 5
    (+23)
    Special categories
  • 4
    (+5)
    Categories and theories
  • 24
    (+38)
    Categories with structure
  • 19
    (+14)
    Abelian categories
  • 12
    (+11)
    Categories and geometry
  • 47
    (+23)
    Homological algebra
    [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx]

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