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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.)

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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.)

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16B50 Category-theoretic methods and results

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16B70 Applications of logic

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16B99 Miscellaneous

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

16Bxx General and miscellaneous

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16D10 General module theory

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

16D20 Bimodules

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16D25 Ideals

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16D40 Free, projective, and flat modules and ideals

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16D50 Injective modules, self-injective rings

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16D60 Simple and semisimple modules, primitive rings and ideals

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16D70 Structure and classification , direct sum decomposition, cancellation

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16D80 Other classes of modules and ideals

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

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16D99 Miscellaneous

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16Dxx Modules, bimodules and ideals

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16E05 Syzygies, resolutions, complexes

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16E10 Homological dimension

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16E20 Grothendieck groups, $K$-theory, etc.

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

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16E45 Differential graded algebras and applications

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16E50 von Neumann regular rings and generalizations

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

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

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16Exx Homological methods

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16K20 Finite-dimensional

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16K40 Infinite-dimensional and general

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16K50 Brauer groups

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16K99 Miscellaneous

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16Kxx Division rings and semisimple Artin rings

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16L30 Noncommutative local and semilocal rings, perfect rings

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16L99 Miscellaneous

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16Lxx Local rings and generalizations

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16N20 Jacobson radical, quasimultiplication

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16N40 Nil and nilpotent radicals, sets, ideals, rings

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16N60 Prime and semiprime rings

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16N80 General radicals and rings

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16Nxx Radicals and radical properties of rings

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16P20 Artinian rings and modules

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16P40 Noetherian rings and modules

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

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16P99 Miscellaneous

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

16Pxx Chain conditions, growth conditions, and other forms of finiteness

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

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16R99 Miscellaneous

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16Rxx Rings with polynomial identity

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

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16S20 Centralizing and normalizing extensions

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16S30 Universal enveloping algebras of Lie algebras

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16S32 Rings of differential operators

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16S34 Group rings , Laurent polynomial rings

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16S36 Ordinary and skew polynomial rings and semigroup rings

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16S50 Endomorphism rings; matrix rings

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16S60 Rings of functions, subdirect products, sheaves of rings

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

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16S99 Miscellaneous

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16Sxx Rings and algebras arising under various constructions

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16U10 Integral domains

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16U20 Ore rings, multiplicative sets, Ore localization

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16U60 Units, groups of units

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16U70 Center, normalizer (invariant elements)

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16U80 Generalizations of commutativity

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16U99 Miscellaneous

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16Uxx Conditions on elements

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

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16W20 Automorphisms and endomorphisms

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16W22 Actions of groups and semigroups; invariant theory

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16W25 Derivations, actions of Lie algebras

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

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16W50 Graded rings and modules

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16W55 ``Super (or ``skew) structure

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16W80 Topological and ordered rings and modules

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16W99 Miscellaneous

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16Wxx Rings and algebras with additional structure

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16Y30 Near-rings

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16Y60 Semirings

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16Yxx Generalizations

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16Z05 Computational aspects of associative rings

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