Mathematical Sciences Classification System

13-XX - Commutative algebra

  • 3
    13-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 99
    13-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 3
    13-02
    Research exposition (monographs, survey articles)
  • 8
    13-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 8
    13-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 68
    13-06
    Proceedings, conferences, collections, etc.
  • 21
    (+38)
    General commutative ring theory
  • 9
    (+9)
    Ring extensions and related topics
  • 21
    (+8)
    Theory of modules and ideals
  • 28
    (+30)
    Homological methods
    {For noncommutative rings, see 16Exx; for general categories, see 18Gxx}
  • (+6)
    Chain conditions, finiteness conditions
  • 9
    (+29)
    Arithmetic rings and other special rings
  • (+3)
    Integral domains
  • 12
    (+11)
    Local rings and semilocal rings
  • 2
    (+3)
    Topological rings and modules
    [See also 16W60, 16W80]
  • Applications of logic to commutative algebra
    [See also 03Cxx, 03Hxx]
  • 2
    Finite commutative rings
    {For number-theoretic aspects, see 11Txx}
  • 2
    (+6)
    Differential algebra
    [See also 12H05, 14F10]
  • 29
    (+28)
    Computational aspects and applications
    [See also 14Qxx, 68W30]

Rewrite code from the image

Reload image

Reload image