13-XX COMMUTATIVE RINGS AND ALGEBRAS
- 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
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13Jxx Topological rings and modules [See also 16W60, 16W80]
(1)
- 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]
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13Pxx Computational aspects and applications [See also 14Qxx, 68W30]
(2)