Difference between revisions of "Commutative property"
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| − | 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 [[ | + | 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]] | [[Category:Mathematics]] | ||
Revision as of 00:32, March 14, 2007
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's operation is commutative, it is said to be abelian.