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. |