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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)
• 40
  18-06
  Proceedings, conferences, collections, etc.
• 14
  (+12)
  18Axx
  General theory of categories and functors
• 5
  (+23)
  18Bxx
  Special categories
• 4
  (+5)
  18Cxx
  Categories and theories
• 24
  (+41)
  18Dxx
  Categories with structure
• 20
  (+15)
  18Exx
  Abelian categories
• 12
  (+12)
  18Fxx
  Categories and geometry
• 49
  (+25)
  18Gxx
  Homological algebra
  [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx]