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

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This page provides a list of all articles available at PlanetMath in the following topic:

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

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