Wikipedia:WikiProject Mathematics/PlanetMath Exchange/13-XX Commutative rings and algebras

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13-XX Commutative rings and algebras.

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13-00 General reference works (handbooks, dictionaries, bibliographies, etc.)[edit]

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

13A02 Graded rings[edit]

13A05 Divisibility[edit]

13A10 Radical theory[edit]

AdamSmithee 10:18, 26 September 2006 (UTC)[reply]

13A15 Ideals; multiplicative ideal theory[edit]

13A18 Valuations and their generalizations[edit]

13A50 Actions of groups on commutative rings; invariant theory[edit]

13A99 Miscellaneous[edit]

13Axx General commutative ring theory[edit]

13B02 Extension theory[edit]

13B05 Galois theory[edit]

13B10 Morphisms[edit]

13B21 Integral dependence[edit]

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

13B25 Polynomials over commutative rings[edit]

13B30 Quotients and localization[edit]

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

13B35 Completion[edit]

13B99 Miscellaneous[edit]

13Bxx Ring extensions and related topics[edit]

13C05 Structure, classification theorems[edit]

13C10 Projective and free modules and ideals[edit]

13C12 Torsion modules and ideals[edit]

13C13 Other special types[edit]

13C14 Cohen-Macaulay modules[edit]

13C15 Dimension theory, depth, related rings (catenary, etc.)[edit]

13C99 Miscellaneous[edit]

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

13Cxx Theory of modules and ideals[edit]

13D02 Syzygies and resolutions[edit]

Jtwdog 19:04, 17 October 2005 (UTC)[reply]

13D05 Homological dimension[edit]

13D15 Grothendieck groups, $K$-theory[edit]

13Dxx Homological methods[edit]

13E05 Noetherian rings and modules[edit]

13E15 Rings and modules of finite generation or presentation; number of generators[edit]

13Exx Chain conditions, finiteness conditions[edit]

13F05 Dedekind, Prüfer and Krull rings and their generalizations[edit]

13F07 Euclidean rings and generalizations[edit]

13F10 Principal ideal rings[edit]

13F15 Factorial rings, unique factorization domains[edit]

13F25 Formal power series rings[edit]

13F30 Valuation rings[edit]

Jtwdog 18:59, 17 October 2005 (UTC)[reply]

13Fxx Arithmetic rings and other special rings[edit]

13G05 Integral domains[edit]

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

13H05 Regular local rings[edit]

Jtwdog 18:59, 17 October 2005 (UTC)[reply]

13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)[edit]

13H99 Miscellaneous[edit]

Jtwdog 19:01, 17 October 2005 (UTC)[reply]
Jtwdog 19:01, 17 October 2005 (UTC)[reply]

13Hxx Local rings and semilocal rings[edit]

13J05 Power series rings[edit]

13J10 Complete rings, completion[edit]

13J25 Ordered rings[edit]

13J99 Miscellaneous[edit]

13Jxx Topological rings and modules[edit]

13K05 Witt vectors and related rings[edit]

13M05 Structure[edit]

13M10 Polynomials[edit]

13M99 Miscellaneous[edit]

13Mxx Finite commutative rings[edit]

13N05 Modules of differentials[edit]

13N15 Derivations[edit]

Jtwdog 18:57, 17 October 2005 (UTC)[reply]

13Nxx Differential algebra[edit]

13P05 Polynomials, factorization[edit]

Jtwdog 18:58, 17 October 2005 (UTC)[reply]

13P10 Polynomial ideals, Gröbner bases[edit]

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

13P99 Miscellaneous[edit]

13Pxx Computational aspects of commutative algebra[edit]