Difference between revisions of "Associative"

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A binary operation * over a set '''A''' is said to be '''Associative''' if for all <math>x,y,z</math> in '''A''' <math>(x*y)*z=x*(y*z)</math>. Common examples of associative operations are multiplication and addition of [[real numbers]] and composition of functions.
 
A binary operation * over a set '''A''' is said to be '''Associative''' if for all <math>x,y,z</math> in '''A''' <math>(x*y)*z=x*(y*z)</math>. Common examples of associative operations are multiplication and addition of [[real numbers]] and composition of functions.
 
[[category:algebra]]
 
[[category:algebra]]

Revision as of 19:04, June 13, 2008

It has been suggested that this article or section be merged with Associative property. (Discuss)

A binary operation * over a set A is said to be Associative if for all in A . Common examples of associative operations are multiplication and addition of real numbers and composition of functions.