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13-XX Commutative algebra rings and algebras {Info & Stats}

  • 13-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 13-01 Instructional exposition (textbooks, tutorial papers, etc.)
  • 13-02 Research exposition (monographs, survey articles)
  • 13-03 Historical (must also be assigned at least one classification number from Section 01)
  • 13-04 Explicit machine computation and programs (not the theory of computation or programming)
  • 13-06 Proceedings, conferences, collections, etc.
  • 13Axx General commutative ring theory
  • 13Bxx Ring extensions and related topics
  • 13Cxx Theory of modules and ideals
  • 13Dxx Homological methods {For noncommutative rings, see 16Exx; for general categories, see 18Gxx}
  • 13Exx Chain conditions, finiteness conditions
  • 13Fxx Arithmetic rings and other special rings
  • 13Gxx Integral domains
  • 13Hxx Local rings and semilocal rings
  • 13Jxx Topological rings and modules [See also 16W60, 16W80]
  • 13K05 Witt vectors and related rings
  • 13Lxx Applications of logic to commutative algebra [See also 03Cxx, 03Hxx]
  • 13Mxx Finite commutative rings {For number-theoretic aspects, see 11Txx}
  • 13Nxx Differential algebra [See also 12H05, 14F10]
  • 13Pxx Computational aspects of commutative algebra and applications [See also 14Qxx, 68W30]