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- In [[algebra]], the '''polynomial ring''' over a [[ring (mathematics)|ring]] is a construction of a ring which for ==Construction of the polynomial ring==4 KB (604 words) - 23:54, 20 February 2010
- 136 bytes (20 words) - 10:57, 4 September 2009
- Auto-populated based on [[Special:WhatLinksHere/Polynomial ring]]. Needs checking by a human.770 bytes (96 words) - 19:39, 11 January 2010
Page text matches
- An algebraic number field for which the ring of integers is a polynomial ring.114 bytes (17 words) - 17:08, 28 October 2008
- Auto-populated based on [[Special:WhatLinksHere/Polynomial ring]]. Needs checking by a human.770 bytes (96 words) - 19:39, 11 January 2010
- {{r|Polynomial ring}}1 KB (174 words) - 20:03, 11 January 2010
- * The [[formal derivative]] makes the polynomial ring ''R''[''X''] over ''R'' a differential ring with949 bytes (151 words) - 11:31, 12 June 2009
- {{r|Polynomial ring}}2 KB (206 words) - 19:38, 11 January 2010
- {{r|Polynomial ring}}2 KB (247 words) - 06:00, 7 November 2010
- {{r|Polynomial ring}}675 bytes (89 words) - 17:28, 11 January 2010
- ...ver a field ''F''. We give ''A'' the structure of a [[module]] over the [[polynomial ring]] ''F''[''X''] by defining the action of <math>f(x) = \sum_{n=0}^d f_i X^i<4 KB (613 words) - 02:34, 4 January 2013
- {{r|Polynomial ring}}1 KB (187 words) - 20:18, 11 January 2010
- ''a'' such that the [[ring of integers]] ''O''<sub>''K''</sub> is a polynomial ring '''Z'''[''a'']. The powers of such a element ''a'' constitute a '''power i1 KB (208 words) - 16:47, 17 December 2008
- {{r|Polynomial ring}}522 bytes (67 words) - 20:03, 11 January 2010
- ** The [[polynomial ring]] over a field #'''Hilbert's Basis Theorem''': The [[polynomial ring]] <math>A[X]</math> is Noetherian (hence so is <math>A[X_1,\ldots,X_n]</mat2 KB (326 words) - 09:55, 23 December 2008
- {{r|Polynomial ring}}858 bytes (112 words) - 15:35, 11 January 2010
- In [[algebra]], the '''polynomial ring''' over a [[ring (mathematics)|ring]] is a construction of a ring which for ==Construction of the polynomial ring==4 KB (604 words) - 23:54, 20 February 2010
- ...<math>A</math>, the object to consider would be the prime spectrum of a [[polynomial ring]] in sufficiently many variables modulo the ideal generated by the polynomi2 KB (338 words) - 10:01, 23 December 2008
- {{r|Polynomial ring}}541 bytes (67 words) - 19:36, 11 January 2010
- {{r|Polynomial ring}}626 bytes (79 words) - 16:01, 11 January 2010
- ** [[Polynomial ring]]10 KB (1,667 words) - 13:47, 5 June 2011
- * The [[formal derivative]] is a derivation on the [[polynomial ring]] ''R''[''X''] with constants ''R''.2 KB (361 words) - 16:44, 4 January 2013
- ...e usual addition and multiplication operations for polynomials, called a [[polynomial ring]]. ...re equal to zero. This approach is useful because it allows one to view a polynomial ring as a [[subring]] of a [[ring of formal power series]]. This is the approac10 KB (1,741 words) - 10:04, 3 January 2009
- ...atics)|ring]] of functions, which is the [[quotient ring|quotient]] of a [[polynomial ring]]. These algebraic properties can be defined in the context of arbitrary [4 KB (743 words) - 03:55, 14 February 2010
- ...ficients are important in advanced mathematics, and are discussed on the [[polynomial ring]] page. For the rest of the present article, all polynomials considered wi8 KB (1,242 words) - 02:01, 10 November 2009
- ...zero) with addition as the operation. The corresponding convolution is [[polynomial ring]] multiplication.2 KB (338 words) - 17:41, 23 December 2008
- 3 KB (435 words) - 22:38, 22 February 2009
- ...n \mapsto n.X^{n-1}</math> and this extends to a linear map ''D'' on the [[polynomial ring]] <math>R[X]</math> over any [[ring theory|ring]] ''R''. Similarly we may5 KB (861 words) - 14:04, 23 February 2011
- ...a [[maximal ideal]].<ref>An ideal <math>I = \left(f(x)\right)</math> in a polynomial ring over a field is maximal if and only if <math>f(x)</math> is irreducible ove18 KB (3,028 words) - 17:12, 25 August 2013
- ...a [[maximal ideal]].<ref>An ideal <math>I = \left(f(x)\right)</math> in a polynomial ring over a field is maximal if and only if <math>f(x)</math> is irreducible ove20 KB (3,304 words) - 17:11, 25 August 2013