13-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)

• 13-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 13-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 13-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
• 13-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 13-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 13-XX Commutative rings and algebras ( 0 Dok.)
• 13A02 Graded rings ( 0 Dok.)
• 13A05 Divisibility ( 0 Dok.)
• 13A10 Radical theory ( 0 Dok.)
• 13A15 Ideals; multiplicative ideal theory ( 0 Dok.)
• 13A18 Valuations and their generalizations ( 0 Dok.)
• 13A30 Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics ( 0 Dok.)
• 13A35 Characteristic p methods (Frobenius endomorphism) and reduction to characteristic p ; tight closure ( 0 Dok.)
• 13A50 Actions of groups on commutative rings; invariant theory ( 0 Dok.)
• 13A99 None of the above, but in this section ( 0 Dok.)
• 13Axx General commutative ring theory ( 0 Dok. )
• 13B02 Extension theory ( 0 Dok.)
• 13B05 Galois theory ( 0 Dok.)
• 13B10 Morphisms integral closure; integrally closed rings, related rings (Japanese, etc.) ( 0 Dok.)
• 13B21 Integral dependence ( 0 Dok.)
• 13B22 Integral closure of rings and ideals ; integrally closed rings, related rings (Japanese, etc.) ( 0 Dok.)
• 13B24 Going up; going down; going between ( 0 Dok.)
• 13B25 Polynomials over commutative rings ( 0 Dok.)
• 13B30 Quotients and localization ( 0 Dok.)
• 13B35 Completion ( 0 Dok.)
• 13B40 Étale and flat extensions; Henselization; Artin approximation ( 0 Dok.)
• 13B99 None of the above, but in this section ( 0 Dok.)
• 13Bxx Ring extensions and related topics ( 0 Dok. )
• 13C05 Structure, classification theorems ( 0 Dok.)
• 13C10 Projective and free modules and ideals ( 0 Dok.)
• 13C11 Injective and flat modules and ideals ( 0 Dok.)
• 13C12 Torsion modules and ideals ( 0 Dok.)
• 13C13 Other special types ( 0 Dok.)
• 13C14 Cohen-Macaulay modules ( 0 Dok.)
• 13C15 Dimension theory, depth, related rings (catenary, etc.) ( 0 Dok.)
• 13C20 Class groups ( 0 Dok.)
• 13C40 Linkage, complete intersections and determinantal ideals ( 0 Dok.)
• 13C99 None of the above, but in this section ( 0 Dok.)
• 13Cxx Theory of modules and ideals ( 0 Dok. )
• 13D02 Syzygies and resolutions ( 0 Dok.)
• 13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) ( 0 Dok.)
• 13D05 Homological dimension ( 0 Dok.)
• 13D07 Homological functors on modules (Tor, Ext, etc.) ( 0 Dok.)
• 13D10 Deformations and infinitesimal methods ( 0 Dok.)
• 13D15 Grothendieck groups, K-theory ( 0 Dok.)
• 13D22 Homological conjectures (intersection theorems) ( 0 Dok.)
• 13D25 Complexes ( 0 Dok.)
• 13D30 Torsion theory ( 0 Dok.)
• 13D40 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series ( 0 Dok.)
• 13D45 Local cohomology ( 0 Dok.)
• 13D99 None of the above, but in this section ( 0 Dok.)
• 13Dxx Homological methods ( 0 Dok. )
• 13E05 Noetherian rings and modules ( 0 Dok.)
• 13E10 Artinian rings and modules, finite-dimensional algebras ( 0 Dok.)
• 13E15 Rings and modules of finite generation or presentation; number of generators ( 0 Dok.)
• 13E99 None of the above, but in this section ( 0 Dok.)
• 13Exx Chain conditions, finiteness conditions ( 0 Dok. )
• 13F05 Dedekind, Prüfer and Krull rings and their generalizations ( 0 Dok.)
• 13F07 Euclidean rings and generalizations ( 0 Dok.)
• 13F10 Principal ideal rings ( 0 Dok.)
• 13F15 Factorial rings, unique factorization domains ( 0 Dok.)
• 13F20 Polynomial rings and ideals; rings of integer-valued polynomials ( 0 Dok.)
• 13F25 Formal power series rings ( 0 Dok.)
• 13F30 Valuation rings ( 0 Dok.)
• 13F40 Excellent rings ( 0 Dok.)
• 13F45 Seminormal rings ( 0 Dok.)
• 13F50 Rings with straightening laws, Hodge algebras ( 0 Dok.)
• 13F55 Face and Stanley-Reisner rings; simplicial complexes ( 0 Dok.)
• 13F99 None of the above, but in this section ( 0 Dok.)
• 13Fxx Arithmetic rings and other special rings ( 0 Dok. )
• 13G05 Integral domains ( 0 Dok.)
• 13H05 Regular local rings ( 0 Dok.)
• 13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) ( 0 Dok.)
• 13H15 Multiplicity theory and related topics ( 0 Dok.)
• 13H99 None of the above, but in this section ( 0 Dok.)
• 13Hxx Local rings and semilocal rings ( 0 Dok. )
• 13J05 Power series rings ( 0 Dok.)
• 13J07 Analytical algebras and rings ( 0 Dok.)
• 13J10 Complete rings, completion ( 0 Dok.)
• 13J15 Henselian rings ( 0 Dok.)
• 13J20 Global topological rings ( 0 Dok.)
• 13J25 Ordered rings ( 0 Dok.)
• 13J30 Real algebra ( 0 Dok.)
• 13J99 None of the above, but in this section ( 0 Dok.)
• 13Jxx Topological rings and modules ( 0 Dok. )
• 13K05 Witt vectors and related rings ( 0 Dok.)
• 13L05 Applications of logic to commutative algebra ( 0 Dok.)
• 13M05 Structure ( 0 Dok.)
• 13M10 Polynomials ( 0 Dok.)
• 13M99 None of the above, but in this section ( 0 Dok.)
• 13Mxx Finite commutative rings ( 0 Dok. )
• 13N05 Modules of differentials ( 0 Dok.)
• 13N10 Rings of differential operators and their modules ( 0 Dok.)
• 13N15 Derivations ( 0 Dok.)
• 13N99 None of the above, but in this section ( 0 Dok.)
• 13Nxx Differential algebra ( 0 Dok. )
• 13P05 Polynomials, factorization ( 0 Dok.)
• 13P10 Polynomial ideals, Gröbner bases ( 0 Dok.)
• 13P99 None of the above, but in this section ( 0 Dok.)
• 13Pxx Computational aspects of commutative algebra ( 0 Dok. )

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Letzte Änderung: 14.07.10