| 12-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) |
| 12-01 | Instructional exposition (textbooks, tutorial papers, etc.) |
| 12-02 | Research exposition (monographs, survey articles) |
| 12-03 | Historical (must also be assigned at least one classification number from Section 01) |
| 12-04 | Explicit machine computation and programs (not the theory of computation or programming) |
| 12-06 | Proceedings, conferences, collections, etc. |
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| 12Dxx | Real and complex fields |
| 12Exx | General field theory |
| 12Fxx | Field extensions |
| 12Gxx | Homological methods (field theory) |
| 12Hxx | Differential and difference algebra |
| 12Jxx | Topological fields |
| 12Kxx | Generalizations of fields |
| 12Lxx | Connections with logic |
| 12Y05 | Computational aspects of field theory and polynomials |
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