Incubator escapee wiki:WikiProject Mathematics/PlanetMath Exchange/13-XX Commutative rings and algebras

Template:Planetmath instructions

13-00 General reference works (handbooks, dictionaries, bibliographies, etc.)Edit

AdamSmithee 09:07, 26 September 2006 (UTC)
AdamSmithee 09:07, 26 September 2006 (UTC)
AdamSmithee 09:07, 26 September 2006 (UTC)
Paul August 03:22, 11 October 2005 (UTC)
Added redirect to Integral domain - AdamSmithee 10:16, 26 September 2006 (UTC)
AdamSmithee 10:16, 26 September 2006 (UTC)
AdamSmithee 10:16, 26 September 2006 (UTC)
AdamSmithee 10:16, 26 September 2006 (UTC)
AdamSmithee 16:03, 10 January 2006 (UTC)
AdamSmithee 16:03, 10 January 2006 (UTC)
AdamSmithee 16:03, 10 January 2006 (UTC)
Basically, WP article contains the info from PM article, but WP article is currently a mess AdamSmithee 16:03, 10 January 2006 (UTC)
You don't need a ring for that AdamSmithee 16:03, 10 January 2006 (UTC)
You don't need a ring for that AdamSmithee 16:03, 10 January 2006 (UTC)
AdamSmithee 16:03, 10 January 2006 (UTC)
AdamSmithee 16:03, 10 January 2006 (UTC)
or Group (mathematics)#Simple theorems - AdamSmithee 16:03, 10 January 2006 (UTC)

13A02 Graded ringsEdit

13A05 DivisibilityEdit

13A10 Radical theoryEdit

AdamSmithee 10:18, 26 September 2006 (UTC)

13A15 Ideals; multiplicative ideal theoryEdit

13A18 Valuations and their generalizationsEdit

13A50 Actions of groups on commutative rings; invariant theoryEdit

13A99 MiscellaneousEdit

13Axx General commutative ring theoryEdit

13B02 Extension theoryEdit

13B05 Galois theoryEdit

13B10 MorphismsEdit

13B21 Integral dependenceEdit

13B22 Integral closure of rings and ideals ; integrally closed rings, related rings (Japanese, etc.)Edit

13B25 Polynomials over commutative ringsEdit

13B30 Quotients and localizationEdit

Oleg Alexandrov (talk) 03:44, 17 March 2006 (UTC)

13B35 CompletionEdit

13B99 MiscellaneousEdit

13Bxx Ring extensions and related topicsEdit

13C05 Structure, classification theoremsEdit

13C10 Projective and free modules and idealsEdit

13C12 Torsion modules and idealsEdit

13C13 Other special typesEdit

13C14 Cohen-Macaulay modulesEdit

13C15 Dimension theory, depth, related rings (catenary, etc.)Edit

13C99 MiscellaneousEdit

Jtwdog 19:06, 17 October 2005 (UTC)
Jtwdog 19:06, 17 October 2005 (UTC)
Jtwdog 18:39, 28 October 2005 (UTC)
Jtwdog 19:06, 17 October 2005 (UTC)
Jtwdog 19:06, 17 October 2005 (UTC)

13Cxx Theory of modules and idealsEdit

13D02 Syzygies and resolutionsEdit

Jtwdog 19:04, 17 October 2005 (UTC)

13D05 Homological dimensionEdit

13D15 Grothendieck groups, $K$-theoryEdit

13Dxx Homological methodsEdit

13E05 Noetherian rings and modulesEdit

13E15 Rings and modules of finite generation or presentation; number of generatorsEdit

13Exx Chain conditions, finiteness conditionsEdit

13F05 Dedekind, Prüfer and Krull rings and their generalizationsEdit

13F07 Euclidean rings and generalizationsEdit

13F10 Principal ideal ringsEdit

13F15 Factorial rings, unique factorization domainsEdit

13F25 Formal power series ringsEdit

13F30 Valuation ringsEdit

Jtwdog 18:59, 17 October 2005 (UTC)

13Fxx Arithmetic rings and other special ringsEdit

13G05 Integral domainsEdit

  • PM: PID, id=674 -- WP guess: PID -- Status:
  • PM: UFD, id=671 -- WP guess: UFD -- Status:

13H05 Regular local ringsEdit

Jtwdog 18:59, 17 October 2005 (UTC)

13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)Edit

13H99 MiscellaneousEdit

Jtwdog 19:01, 17 October 2005 (UTC)
Jtwdog 19:01, 17 October 2005 (UTC)

13Hxx Local rings and semilocal ringsEdit

13J05 Power series ringsEdit

13J10 Complete rings, completionEdit

13J25 Ordered ringsEdit

13J99 MiscellaneousEdit

13Jxx Topological rings and modulesEdit

13K05 Witt vectors and related ringsEdit

13M05 StructureEdit

13M10 PolynomialsEdit

13M99 MiscellaneousEdit

13Mxx Finite commutative ringsEdit

13N05 Modules of differentialsEdit

13N15 DerivationsEdit

Jtwdog 18:57, 17 October 2005 (UTC)

13Nxx Differential algebraEdit

13P05 Polynomials, factorizationEdit

Jtwdog 18:58, 17 October 2005 (UTC)

13P10 Polynomial ideals, Gröbner basesEdit

Jtwdog 03:28, 4 January 2006 (UTC)
Jtwdog 03:28, 4 January 2006 (UTC)
Jtwdog 03:29, 4 January 2006 (UTC)
Jtwdog 03:28, 4 January 2006 (UTC)

13P99 MiscellaneousEdit

13Pxx Computational aspects of commutative algebraEdit