1300  General reference works (handbooks, dictionaries, bibliographies, etc.)


1301  Instructional exposition (textbooks, tutorial papers, etc.)


1302  Research exposition (monographs, survey articles)


1303  Historical (must also be assigned at least one classification number from Section 01)


1304  Explicit machine computation and programs (not the theory of computation or programming)


1306  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

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 numbertheoretic aspects, see 11Txx}

13Nxx  Differential algebra [See also 12H05, 14F10]

13Pxx  Computational aspects of commutative algebra [See also 68W30]
