13-XX | 12 | Top | 14 |
| 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 |
| 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 68W30] |