MSCMSC
- [+]00-XXGeneral
- [+]01XXXHistory and Foundations
- [-]06XXXAlgebra
- [+]26XXXAnalysis
- [+]5XXXXGeometry and Topology
- [+]60XXXProbability and Statistics
- [+]65-XXNumerical analysis
- [+]68-XXComputer science
- [+]7XXXXApplications
- [+]97-XXMathematics education
- 06XXXAllgemeines und Nachschlagewerke
- [+]06-XXOrder, lattices, ordered algebraic structures
- [+]08-XXGeneral algebraic systems
- [+]11-XXNumber theory
- [+]12-XXField theory and polynomials
- [-]13-XXCommutative rings and algebras
- [+]14-XXAlgebraic geometry
- [+]15-XXLinear and multilinear algebra; matrix theory
- [+]16-XXAssociative rings and algebras
- [+]17-XXNonassociative rings and algebras
- [+]18-XXCategory theory; homological algebra
- [+]19-XXK-theory
- [+]20-XXGroup theory and generalizations
- [+]22-XXTopological groups, Lie groups
- 13-00General reference works (handbooks, dictionaries, bibliographies, etc.)
- 13-01Instructional exposition (textbooks, tutorial papers, etc.)
- 13-02Research exposition (monographs, survey articles)
- 13-03Historical
- 13-04Explicit machine computation and programs
- 13-06Proceedings, conferences, collections, etc.
- [+]13AXXGeneral commutative ring theory
- [-]13BXXRing extensions and related topics
- [+]13CXXTheory of modules and ideals
- [+]13DXXHomological methods
- [+]13EXXChain conditions, finiteness conditions
- [+]13FXXArithmetic rings and other special rings
- 13G05Integral domains
- [+]13HXXLocal rings and semilocal rings
- [+]13JXXTopological rings and modules
- 13K05Witt vectors and related rings
- 13L05Applications of logic to commutative algebra
- [+]13MXXFinite commutative rings
- [+]13NXXDifferential algebra
- [+]13PXXComputational aspects of commutative algebra
- 13BXXAllgemeines und Nachschlagewerke
- 13B02Extension theory
- 13B05Galois theory
- 13B10Morphisms
- 13B21Integral dependence
- 13B22Integral closure of rings and ideals
- 13B24Going up; going down; going between
- 13B25Polynomials over commutative rings
- 13B30Quotients and localization
- 13B35Completion
- 13B40Étale and flat extensions; Henselization; Artin approximation
- 13B99None of the above, but in this section
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