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

12-XX Field theory and polynomials.

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12-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

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12D05 Polynomials: factorization

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AdamSmithee. 18:22, 19 December 2005 (UTC)[reply]
AdamSmithee. 18:22, 19 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]

12D10 Polynomials: location of zeros (algebraic theorems)

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AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
As the talk page suggests that the formula shouldn't be put in the article, I've put in an external link - AdamSmithee 21:58, 29 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
AdamSmithee 18:23, 19 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
There is already an external link - AdamSmithee 21:58, 29 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
AdamSmithee 21:31, 19 December 2005 (UTC)[reply]
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12D99 Miscellaneous

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The WP article is rather advanced. The PM article can be used to improve on WP - AdamSmithee 21:58, 29 December 2005 (UTC)[reply]
AdamSmithee 21:58, 29 December 2005 (UTC)[reply]
AdamSmithee 21:58, 29 December 2005 (UTC)[reply]
AdamSmithee 21:58, 29 December 2005 (UTC)[reply]
AdamSmithee 21:58, 29 December 2005 (UTC)[reply]
AdamSmithee 21:58, 29 December 2005 (UTC)[reply]
AdamSmithee 21:58, 29 December 2005 (UTC)[reply]
Can be used for a better wording of section 1.3 - AdamSmithee 21:58, 29 December 2005 (UTC)[reply]

12Dxx Real and complex fields

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12E05 Polynomials (irreducibility, etc.)

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Planetmath link points on resultant. Wiki link is a disambiguation page.
Article on resolvent in Galois theory is lacking everywhere.
Resultant is lacking in this list. D.Lazard (talk) 11:49, 29 October 2011 (UTC)[reply]

12E10 Special polynomials

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Oleg Alexandrov (talk) 18:56, 20 November 2005 (UTC)[reply]
Oleg Alexandrov (talk) 18:56, 20 November 2005 (UTC)[reply]

12E15 Skew fields, division rings

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Oleg Alexandrov (talk) 19:05, 20 November 2005 (UTC)[reply]
Oleg Alexandrov (talk) 19:05, 20 November 2005 (UTC)[reply]
Oleg Alexandrov (talk) 19:05, 20 November 2005 (UTC)[reply]

12E20 Finite fields (field-theoretic aspects)

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12E25 Hilbertian fields; Hilbert's irreducibility theorem

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12E99 Miscellaneous

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AdamSmithee 14:08, 30 December 2005 (UTC)[reply]
AdamSmithee 14:08, 30 December 2005 (UTC)[reply]
The WP article may use a separate section on fields; also, a redirect AdamSmithee 14:08, 30 December 2005 (UTC)[reply]
AdamSmithee 14:08, 30 December 2005 (UTC)[reply]
AdamSmithee 14:08, 30 December 2005 (UTC)[reply]

12Exx General field theory

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12F05 Algebraic extensions

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  • PM: norm, id=1846 -- WP guess: norm -- Status:

12F10 Separable extensions, Galois theory

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12F15 Inseparable extensions

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12F20 Transcendental extensions

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12F99 Miscellaneous

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12Fxx Field extensions

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12H05 Differential algebra

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12Hxx Differential and difference algebra

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12J05 Normed fields

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12J10 Valued fields

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12J12 Formally $p$-adic fields

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12J15 Ordered fields

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12J20 General valuation theory

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12J99 Miscellaneous

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12Jxx Topological fields

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12K10 Semifields

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12Kxx Generalizations of fields

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12Y05 Computational aspects of field theory and polynomials

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