| 13-XX |
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Commutative rings and algebras |
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13-00 |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
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13-01 |
Instructional exposition (textbooks, tutorial papers, etc.) |
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13-02 |
Research exposition (monographs, survey articles) |
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13-03 |
Historical (must also be assigned at least one classification number from Section 01) |
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13-04 |
Explicit machine computation and programs (not the theory of computation or programming) |
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13-06 |
Proceedings, conferences, collections, etc. |
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13Axx |
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General commutative ring theory |
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13Bxx |
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Ring extensions and related topics |
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13Cxx |
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Theory of modules and ideals |
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13Dxx |
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Homological methods For noncommutative rings, see 16Exx; for general categories, see 18Gxx |
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13Exx |
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Chain conditions, finiteness conditions |
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13Fxx |
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Arithmetic rings and other special rings |
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13G05 |
Integral domains |
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13Hxx |
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Local rings and semilocal rings |
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13Jxx |
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Topological rings and modules [See also 16W60, 16W80] |
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13K05 |
Witt vectors and related rings |
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13L05 |
Applications of logic to commutative algebra [See also 03Cxx, 03Hxx] |
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13Mxx |
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Finite commutative rings For number-theoretic aspects, see 11Txx |
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13Nxx |
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Differential algebra [See also 12H05, 14F10] |
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13Pxx |
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Computational aspects of commutative algebra [See also 68W30] |
