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This page provides a list of all articles available at PlanetMath in the following topic:

13-XX Commutative rings and algebras.

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

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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

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13A05 Divisibility

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13A10 Radical theory

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

13A15 Ideals; multiplicative ideal theory

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13A18 Valuations and their generalizations

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13A50 Actions of groups on commutative rings; invariant theory

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13A99 Miscellaneous

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13Axx General commutative ring theory

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13B02 Extension theory

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13B05 Galois theory

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13B10 Morphisms

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13B21 Integral dependence

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13B25 Polynomials over commutative rings

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13B30 Quotients and localization

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

13B35 Completion

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13B99 Miscellaneous

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13C05 Structure, classification theorems

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13C10 Projective and free modules and ideals

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13C12 Torsion modules and ideals

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13C13 Other special types

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13C14 Cohen-Macaulay modules

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13C99 Miscellaneous

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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

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13D02 Syzygies and resolutions

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

13D05 Homological dimension

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13D15 Grothendieck groups, $K$-theory

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13Dxx Homological methods

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13E05 Noetherian rings and modules

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

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13Exx Chain conditions, finiteness conditions

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13F05 Dedekind, Prüfer and Krull rings and their generalizations

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13F07 Euclidean rings and generalizations

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13F10 Principal ideal rings

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13F15 Factorial rings, unique factorization domains

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13F25 Formal power series rings

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13F30 Valuation rings

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

13Fxx Arithmetic rings and other special rings

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13G05 Integral domains

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

13H05 Regular local rings

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

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

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13H99 Miscellaneous

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

13Hxx Local rings and semilocal rings

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13J05 Power series rings

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13J10 Complete rings, completion

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13J25 Ordered rings

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13J99 Miscellaneous

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13Jxx Topological rings and modules

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13M05 Structure

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13M10 Polynomials

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13M99 Miscellaneous

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13Mxx Finite commutative rings

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13N05 Modules of differentials

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13N15 Derivations

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

13Nxx Differential algebra

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13P05 Polynomials, factorization

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

13P10 Polynomial ideals, Gröbner bases

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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

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13Pxx Computational aspects of commutative algebra

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