Wiki143:WikiProject Mathematics/PlanetMath Exchange/16-XX Associative rings and algebras

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

Template:Planetmath instructions

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)

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

16B50 Category-theoretic methods and results

16B70 Applications of logic

16B99 Miscellaneous

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

16Bxx General and miscellaneous

16D10 General module theory

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

16D20 Bimodules

16D25 Ideals

16D40 Free, projective, and flat modules and ideals

16D50 Injective modules, self-injective rings

16D60 Simple and semisimple modules, primitive rings and ideals

16D70 Structure and classification , direct sum decomposition, cancellation

16D80 Other classes of modules and ideals

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

16D99 Miscellaneous

16Dxx Modules, bimodules and ideals

16E05 Syzygies, resolutions, complexes

16E10 Homological dimension

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

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

16E45 Differential graded algebras and applications

16E50 von Neumann regular rings and generalizations

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

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

16Exx Homological methods

16K20 Finite-dimensional

16K40 Infinite-dimensional and general

16K50 Brauer groups

16K99 Miscellaneous

16Kxx Division rings and semisimple Artin rings

16L30 Noncommutative local and semilocal rings, perfect rings

16L99 Miscellaneous

16Lxx Local rings and generalizations

16N20 Jacobson radical, quasimultiplication

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

16N60 Prime and semiprime rings

16N80 General radicals and rings

16Nxx Radicals and radical properties of rings

16P20 Artinian rings and modules

16P40 Noetherian rings and modules

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

16P99 Miscellaneous

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

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

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

16R99 Miscellaneous

16Rxx Rings with polynomial identity

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

16S20 Centralizing and normalizing extensions

16S30 Universal enveloping algebras of Lie algebras

16S32 Rings of differential operators

16S34 Group rings , Laurent polynomial rings

16S36 Ordinary and skew polynomial rings and semigroup rings

16S50 Endomorphism rings; matrix rings

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

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

16S99 Miscellaneous

16Sxx Rings and algebras arising under various constructions

16U10 Integral domains

16U20 Ore rings, multiplicative sets, Ore localization

16U60 Units, groups of units

16U70 Center, normalizer (invariant elements)

16U80 Generalizations of commutativity

16U99 Miscellaneous

16Uxx Conditions on elements

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

16W20 Automorphisms and endomorphisms

16W22 Actions of groups and semigroups; invariant theory

16W25 Derivations, actions of Lie algebras

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

16W50 Graded rings and modules

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

16W80 Topological and ordered rings and modules

16W99 Miscellaneous

16Wxx Rings and algebras with additional structure

16Y30 Near-rings

16Y60 Semirings

16Yxx Generalizations

16Z05 Computational aspects of associative rings

Retrieved from "http://debianws.lexgopc.com/wiki143/index.php?title=Wiki143:WikiProject_Mathematics/PlanetMath_Exchange/16-XX_Associative_rings_and_algebras&oldid=1116150"