Mathematics Subject Classification 2000
16-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
- 16-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
- 16-02 Research exposition (monographs, survey articles) ( 0 Dok.)
- 16-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
- 16-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
- 16-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
- 16-XX Associative rings and algebras ( 0 Dok.)
- 16B50 Category-theoretic methods and results (except as in 16D90) ( 0 Dok.)
- 16B70 Applications of logic ( 0 Dok.)
- 16B99 None of the above, but in this section ( 0 Dok.)
- 16Bxx General and miscellaneous ( 0 Dok. )
- 16D10 General module theory ( 0 Dok.)
- 16D20 Bimodules ( 0 Dok.)
- 16D25 Ideals ( 0 Dok.)
- 16D30 Infinite-dimensional simple rings (except as in 16Kxx) ( 0 Dok.)
- 16D40 Free, projective, and flat modules and ideals ( 0 Dok.)
- 16D50 Injective modules, self-injective rings ( 0 Dok.)
- 16D60 Simple and semisimple modules, primitive rings and ideals ( 0 Dok.)
- 16D70 Structure and classification (except as in 16Gxx), direct sum decomposition, cancellation ( 0 Dok.)
- 16D80 Other classes of modules and ideals ( 0 Dok.)
- 16D90 Module categories ; module theory in a category-theoretic context; Morita equivalence and duality ( 0 Dok.)
- 16D99 None of the above, but in this section ( 0 Dok.)
- 16Dxx Modules, bimodules and ideals ( 0 Dok. )
- 16E05 Syzygies, resolutions, complexes ( 0 Dok.)
- 16E10 Homological dimension ( 0 Dok.)
- 16E20 Grothendieck groups, K-theory, etc. ( 0 Dok.)
- 16E30 Homological functors on modules (Tor, Ext, etc.) ( 0 Dok.)
- 16E40 (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) ( 0 Dok.)
- 16E45 Differential graded algebras and applications ( 0 Dok.)
- 16E50 von Neumann regular rings and generalizations ( 0 Dok.)
- 16E60 Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. ( 0 Dok.)
- 16E65 Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) ( 0 Dok.)
- 16E99 None of the above, but in this section ( 0 Dok.)
- 16Exx Homological methods ( 0 Dok. )
- 16G10 Representations of Artinian rings ( 0 Dok.)
- 16G20 Representations of quivers and partially ordered sets ( 0 Dok.)
- 16G30 Representations of orders, lattices, algebras over commutative rings ( 0 Dok.)
- 16G50 Cohen-Macaulay modules ( 0 Dok.)
- 16G60 Representation type (finite, tame, wild, etc.) ( 0 Dok.)
- 16G70 Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers ( 0 Dok.)
- 16G99 None of the above, but in this section ( 0 Dok.)
- 16Gxx Representation theory of rings and algebras ( 0 Dok. )
- 16H05 Orders and arithmetic, separable algebras, Azumaya algebras ( 0 Dok.)
- 16K20 Finite-dimensional ( 0 Dok.)
- 16K40 Infinite-dimensional and general ( 0 Dok.)
- 16K50 Brauer groups ( 0 Dok.)
- 16K99 None of the above, but in this section ( 0 Dok.)
- 16Kxx Division rings and semisimple Artin rings ( 0 Dok. )
- 16L30 Noncommutative local and semilocal rings, perfect rings ( 0 Dok.)
- 16L60 Quasi-Frobenius rings ( 0 Dok.)
- 16L99 None of the above, but in this section ( 0 Dok.)
- 16Lxx Local rings and generalizations ( 0 Dok. )
- 16N20 Jacobson radical, quasimultiplication ( 0 Dok.)
- 16N40 Nil and nilpotent radicals, sets, ideals, rings ( 0 Dok.)
- 16N60 Prime and semiprime rings ( 0 Dok.)
- 16N80 General radicals and rings ( 0 Dok.)
- 16N99 None of the above, but in this section ( 0 Dok.)
- 16Nxx Radicals and radical properties of rings ( 0 Dok. )
- 16P10 Finite rings and finite-dimensional algebras ( 0 Dok.)
- 16P20 Artinian rings and modules ( 0 Dok.)
- 16P40 Noetherian rings and modules ( 0 Dok.)
- 16P50 Localization and Noetherian rings ( 0 Dok.)
- 16P60 Chain conditions on annihilators and summands: Goldie-type conditions , Krull dimension ( 0 Dok.)
- 16P70 Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence ( 0 Dok.)
- 16P90 Growth rate, Gelfand-Kirillov dimension ( 0 Dok.)
- 16P99 None of the above, but in this section ( 0 Dok.)
- 16Pxx Chain conditions, growth conditions, and other forms of finiteness ( 0 Dok. )
- 16R10 T-ideals, identities, varieties of rings and algebras ( 0 Dok.)
- 16R20 Semiprime p.i. rings, rings embeddable in matrices over commutative rings ( 0 Dok.)
- 16R30 Trace rings and invariant theory ( 0 Dok.)
- 16R40 Identities other than those of matrices over commutative rings ( 0 Dok.)
- 16R50 Other kinds of identities (generalized polynomial, rational, involution) ( 0 Dok.)
- 16R99 None of the above, but in this section ( 0 Dok.)
- 16Rxx Rings with polynomial identity ( 0 Dok. )
- 16S10 Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) ( 0 Dok.)
- 16S15 Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) ( 0 Dok.)
- 16S20 Centralizing and normalizing extensions ( 0 Dok.)
- 16S30 Universal enveloping algebras of Lie algebras ( 0 Dok.)
- 16S32 Rings of differential operators ( 0 Dok.)
- 16S34 Group rings , Laurent polynomial rings ( 0 Dok.)
- 16S35 Twisted and skew group rings, crossed products ( 0 Dok.)
- 16S36 Ordinary and skew polynomial rings and semigroup rings ( 0 Dok.)
- 16S37 Quadratic and Koszul algebras ( 0 Dok.)
- 16S38 Rings arising from non-commutative algebraic geometry ( 0 Dok.)
- 16S40 Smash products of general Hopf actions ( 0 Dok.)
- 16S50 Endomorphism rings; matrix rings ( 0 Dok.)
- 16S60 Rings of functions, subdirect products, sheaves of rings ( 0 Dok.)
- 16S70 Extensions of rings by ideals ( 0 Dok.)
- 16S80 Deformations of rings ( 0 Dok.)
- 16S90 Maximal ring of quotients, torsion theories, radicals on module categories ( 0 Dok.)
- 16S99 None of the above, but in this section ( 0 Dok.)
- 16Sxx Rings and algebras arising under various constructions ( 0 Dok. )
- 16U10 Integral domains ( 0 Dok.)
- 16U20 Ore rings, multiplicative sets, Ore localization ( 0 Dok.)
- 16U30 Divisibility, noncommutative UFDs ( 0 Dok.)
- 16U60 Units, groups of units ( 0 Dok.)
- 16U70 Center, normalizer (invariant elements) ( 0 Dok.)
- 16U80 Generalizations of commutativity ( 0 Dok.)
- 16U99 None of the above, but in this section ( 0 Dok.)
- 16Uxx Conditions on elements ( 0 Dok. )
- 16W10 Rings with involution; Lie, Jordan and other nonassociative structures ( 0 Dok.)
- 16W20 Automorphisms and endomorphisms ( 0 Dok.)
- 16W22 Actions of groups and semigroups; invariant theory ( 0 Dok.)
- 16W25 Derivations, actions of Lie algebras ( 0 Dok.)
- 16W30 Coalgebras, bialgebras, Hopf algebras ; rings, modules, etc. on which these act ( 0 Dok.)
- 16W35 Ring-theoretic aspects of quantum groups ( 0 Dok.)
- 16W50 Graded rings and modules ( 0 Dok.)
- 16W55 ``Super'' (or ``skew'') structure ( 0 Dok.)
- 16W60 Valuations, completions, formal power series and related constructions ( 0 Dok.)
- 16W70 Filtered rings; filtrational and graded techniques ( 0 Dok.)
- 16W80 Topological and ordered rings and modules ( 0 Dok.)
- 16W99 None of the above, but in this section ( 0 Dok.)
- 16Wxx Rings and algebras with additional structure ( 0 Dok. )
- 16Y30 Near-rings ( 0 Dok.)
- 16Y60 Semirings ( 0 Dok.)
- 16Y99 None of the above, but in this section ( 0 Dok.)
- 16Yxx Generalizations ( 0 Dok. )
- 16Z05 Computational aspects of associative rings ( 0 Dok.)
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14.07.10 |