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Mathematical Sciences Classification System

13-XX - Commutative algebra

• 3
  13-00
  General reference works (handbooks, dictionaries, bibliographies, etc.)
• 100
  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)
• 70
  13-06
  Proceedings, conferences, collections, etc.
• 21
  (+38)
  13Axx
  General commutative ring theory
• 9
  (+9)
  13Bxx
  Ring extensions and related topics
• 21
  (+8)
  13Cxx
  Theory of modules and ideals
• 28
  (+30)
  13Dxx
  Homological methods
  {For noncommutative rings, see 16Exx; for general categories, see 18Gxx}
• (+6)
  13Exx
  Chain conditions, finiteness conditions
• 11
  (+29)
  13Fxx
  Arithmetic rings and other special rings
• (+3)
  13Gxx
  Integral domains
• 12
  (+11)
  13Hxx
  Local rings and semilocal rings
• 2
  (+3)
  13Jxx
  Topological rings and modules
  [See also 16W60, 16W80]
• 13Lxx
  Applications of logic to commutative algebra
  [See also 03Cxx, 03Hxx]
• 2
  13Mxx
  Finite commutative rings
  {For number-theoretic aspects, see 11Txx}
• 2
  (+6)
  13Nxx
  Differential algebra
  [See also 12H05, 14F10]
• 29
  (+28)
  13Pxx
  Computational aspects and applications
  [See also 14Qxx, 68W30]