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18-xx

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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.

  • 18Axx General theory of categories and functors
  • 18Bxx Special categories
  • 18Cxx Categories and theories
  • 18Dxx Categories with structure
  • 18Exx Abelian categories
  • 18Fxx Categories and geometry
  • 18Gxx Homological algebra [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx]