Wikipedia:WikiProject Mathematics/PlanetMath Exchange/12-XX Field theory and polynomials

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12-XX Field theory and polynomials.

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

12D05 Polynomials: factorization[edit]

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)[edit]

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]

12D15 Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)[edit]

12D99 Miscellaneous[edit]

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[edit]

12E05 Polynomials (irreducibility, etc.)[edit]

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[edit]

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[edit]

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)[edit]

12E25 Hilbertian fields; Hilbert's irreducibility theorem[edit]

12E99 Miscellaneous[edit]

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[edit]

12F05 Algebraic extensions[edit]

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

12F10 Separable extensions, Galois theory[edit]

12F15 Inseparable extensions[edit]

12F20 Transcendental extensions[edit]

12F99 Miscellaneous[edit]

12Fxx Field extensions[edit]

12H05 Differential algebra[edit]

12Hxx Differential and difference algebra[edit]

12J05 Normed fields[edit]

12J10 Valued fields[edit]

12J12 Formally $p$-adic fields[edit]

12J15 Ordered fields[edit]

12J20 General valuation theory[edit]

12J99 Miscellaneous[edit]

12Jxx Topological fields[edit]

12K10 Semifields[edit]

12Kxx Generalizations of fields[edit]

12Y05 Computational aspects of field theory and polynomials[edit]