Wikipedia:WikiProject Mathematics/PlanetMath Exchange/16-XX Associative rings and algebras

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16-XX Associative rings and algebras.

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16-00 General reference works (handbooks, dictionaries, bibliographies, etc.)[edit]

Oleg Alexandrov (talk) 23:46, 13 January 2007 (UTC)[reply]
Oleg Alexandrov (talk) 23:46, 13 January 2007 (UTC)[reply]
Oleg Alexandrov (talk) 23:46, 13 January 2007 (UTC)[reply]
Oleg Alexandrov (talk) 23:46, 13 January 2007 (UTC)[reply]
Oleg Alexandrov (talk) 23:46, 13 January 2007 (UTC)[reply]
Oleg Alexandrov (talk) 23:46, 13 January 2007 (UTC)[reply]

16-01 Instructional exposition (textbooks, tutorial papers, etc.)[edit]

16B50 Category-theoretic methods and results[edit]

16B70 Applications of logic[edit]

16B99 Miscellaneous[edit]

  • PM: unit, id=676 -- WP guess: unit -- Status:

16Bxx General and miscellaneous[edit]

16D10 General module theory[edit]

Oleg Alexandrov 05:03, 28 May 2005 (UTC)[reply]

16D20 Bimodules[edit]

16D25 Ideals[edit]

16D40 Free, projective, and flat modules and ideals[edit]

16D50 Injective modules, self-injective rings[edit]

16D60 Simple and semisimple modules, primitive rings and ideals[edit]

16D70 Structure and classification , direct sum decomposition, cancellation[edit]

16D80 Other classes of modules and ideals[edit]

16D90 Module categories ; module theory in a category-theoretic context; Morita equivalence and duality[edit]

16D99 Miscellaneous[edit]

16Dxx Modules, bimodules and ideals[edit]

16E05 Syzygies, resolutions, complexes[edit]

16E10 Homological dimension[edit]

16E20 Grothendieck groups, $K$-theory, etc.[edit]

16E30 Homological functors on modules (Tor, Ext, etc.)[edit]

16E45 Differential graded algebras and applications[edit]

16E50 von Neumann regular rings and generalizations[edit]

16E60 Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc.[edit]

16E65 Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)[edit]

16Exx Homological methods[edit]

16K20 Finite-dimensional[edit]

16K40 Infinite-dimensional and general[edit]

16K50 Brauer groups[edit]

16K99 Miscellaneous[edit]

16Kxx Division rings and semisimple Artin rings[edit]

16L30 Noncommutative local and semilocal rings, perfect rings[edit]

16L99 Miscellaneous[edit]

16Lxx Local rings and generalizations[edit]

16N20 Jacobson radical, quasimultiplication[edit]

16N40 Nil and nilpotent radicals, sets, ideals, rings[edit]

16N60 Prime and semiprime rings[edit]

16N80 General radicals and rings[edit]

16Nxx Radicals and radical properties of rings[edit]

16P20 Artinian rings and modules[edit]

16P40 Noetherian rings and modules[edit]

16P60 Chain conditions on annihilators and summands: Goldie-type conditions , Krull dimension[edit]

16P99 Miscellaneous[edit]

  • PM: IBN, id=6537 -- WP guess: IBN -- Status:

16Pxx Chain conditions, growth conditions, and other forms of finiteness[edit]

16R10 $T$-ideals, identities, varieties of rings and algebras[edit]

16R99 Miscellaneous[edit]

16Rxx Rings with polynomial identity[edit]

16S10 Rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)[edit]

16S20 Centralizing and normalizing extensions[edit]

16S30 Universal enveloping algebras of Lie algebras[edit]

16S32 Rings of differential operators[edit]

16S34 Group rings , Laurent polynomial rings[edit]

16S36 Ordinary and skew polynomial rings and semigroup rings[edit]

16S50 Endomorphism rings; matrix rings[edit]

16S60 Rings of functions, subdirect products, sheaves of rings[edit]

16S90 Maximal ring of quotients, torsion theories, radicals on module categories[edit]

16S99 Miscellaneous[edit]

16Sxx Rings and algebras arising under various constructions[edit]

16U10 Integral domains[edit]

16U20 Ore rings, multiplicative sets, Ore localization[edit]

16U60 Units, groups of units[edit]

16U70 Center, normalizer (invariant elements)[edit]

16U80 Generalizations of commutativity[edit]

16U99 Miscellaneous[edit]

16Uxx Conditions on elements[edit]

16W10 Rings with involution; Lie, Jordan and other nonassociative structures[edit]

16W20 Automorphisms and endomorphisms[edit]

16W22 Actions of groups and semigroups; invariant theory[edit]

16W25 Derivations, actions of Lie algebras[edit]

16W30 Coalgebras, bialgebras, Hopf algebras ; rings, modules, etc. on which these act[edit]

16W50 Graded rings and modules[edit]

16W55 ``Super (or ``skew) structure[edit]

16W80 Topological and ordered rings and modules[edit]

16W99 Miscellaneous[edit]

16Wxx Rings and algebras with additional structure[edit]

16Y30 Near-rings[edit]

16Y60 Semirings[edit]

16Yxx Generalizations[edit]

16Z05 Computational aspects of associative rings[edit]