Difference between revisions of "Commutative property"
(def) |
m (added period, Category:Mathematics) |
||
| Line 1: | Line 1: | ||
| − | In mathematics, a binary operation <math>*</math> on a set '''A''' is said to be commutative if for all <math>x,y</math> in '''A''' we have <math>x*y=y*x</math>. An Example of a commutative operation is addition in the [[real numbers]]. When a [[group (mathematics)|group]]'s operation is commutative, it is said to be [[Abelian]] | + | In mathematics, a binary operation <math>*</math> on a set '''A''' is said to be commutative if for all <math>x,y</math> in '''A''' we have <math>x*y=y*x</math>. An Example of a commutative operation is addition in the [[real numbers]]. When a [[group (mathematics)|group]]'s operation is commutative, it is said to be [[Abelian]]. |
| + | |||
| + | [[Category:Mathematics]] | ||
Revision as of 10:37, March 11, 2007
In mathematics, a binary operation Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle *} on a set A is said to be commutative if for all Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x,y} in A we have Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x*y=y*x} . An Example of a commutative operation is addition in the real numbers. When a group's operation is commutative, it is said to be Abelian.