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

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

[edit] 16B99 Miscellaneous

  • PM: unit, id=676 -- WP guess: unit -- Status:
  • PM: Klein 4-ring, id=6720new! -- WP guess: Klein 4-ring -- Status:

[edit] 16D10 General module theory

  • PM: modular law, id=3173 -- WP guess: modular law -- Status:
Oleg Alexandrov 05:03, 28 May 2005 (UTC)

[edit] 16D20 Bimodules

[edit] 16D25 Ideals

  • PM: proper ideal, id=415 -- WP guess: proper ideal -- Status:
  • PM: Large ideal, id=7549new! -- WP guess: Large ideal -- Status:

[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] 16D99 Miscellaneous

  • PM: socle, id=5837 -- WP guess: socle -- Status:

[edit] 16E05 Syzygies, resolutions, complexes

  • PM: n-chain, id=4478 -- WP guess: n-chain -- Status:

[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] 16K20 Finite-dimensional

[edit] 16K40 Infinite-dimensional and general

[edit] 16K50 Brauer groups

[edit] 16K99 Miscellaneous

[edit] 16L99 Miscellaneous

[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] 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

  • PM: IBN, id=6537 -- WP guess: IBN -- Status:
  • PM: stably finite, id=5767 -- WP guess: stably finite -- Status:

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

  • PM: T-ideal, id=5831 -- WP guess: T-ideal -- Status:

[edit] 16R99 Miscellaneous

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

[edit] 16S20 Centralizing and normalizing extensions

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

[edit] 16S99 Miscellaneous

[edit] 16U10 Integral domains

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

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

[edit] 16U80 Generalizations of commutativity

[edit] 16U99 Miscellaneous

[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

  • PM: coinvariant, id=4729 -- WP guess: coinvariant -- Status:

[edit] 16W50 Graded rings and modules

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

  • PM: supernumber, id=3463 -- WP guess: supernumber -- Status:

[edit] 16W80 Topological and ordered rings and modules

[edit] 16W99 Miscellaneous

[edit] 16Y30 Near-rings

[edit] 16Y60 Semirings

[edit] 16Z05 Computational aspects of associative rings

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