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 be assigned at least one classification number from 01-XX)
• 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 (Co)homological methods
• 13Exx Chain conditions, finiteness conditions
• 13Fxx Arithmetic rings and other special rings, see also {12-XX}
• 13G05 Integral domains
• 13Hxx Local rings and semilocal rings
• 13Jxx Topological rings and modules, see also {16W60, 16W80}
• 13K05 Witt vectors and related rings
• 13L05 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, see Also { 68Q40}