Multivariate polynomial ring - Revision history

Vipul at 17:00, 5 February 2009

2009-02-05T17:00:34Z

← Older revision		Revision as of 17:00, 5 February 2009
Line 1:		Line 1:
			{{variation of\|polynomial ring}}
	==Definition==		==Definition==

Vipul: 2 revisions

2008-05-12T16:27:27Z

2 revisions

← Older revision	Revision as of 16:27, 12 May 2008
(No difference)

Vipul at 22:09, 8 February 2008

2008-02-08T22:09:23Z

@@ Line 7: / Line 7: @@
 When we simply say multivariate polynomial ring, we usually mean [[multivariate polynomial ring over a field]].
 ==Related notions==
 * [[Polynomial ring]]

Vipul at 11:26, 8 August 2007

2007-08-08T11:26:26Z

New page

==Definition==

Let <math>R</math> be a [[commutative unital ring]]. The <math>n</math>-variate polynomial ring over <math>R</math> is defined as the ring of polynomials in <math>n</math> symbols. If the <math>n</math> symbols are <math>x_1, x_2, \ldots, x_n</math>, then the polynomial ring is <math>x_1, x_2, \ldots, x_n</math>.

The <math>n</math>-variate polynomial ring can be obtained by applying the [[polynomial ring]] operator <math>n</math> times in succession.

When we simply say multivariate polynomial ring, we usually mean [[multivariate polynomial ring over a field]].

==Related notions==

* [[Polynomial ring]]