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>. | + | 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: | + | [[category:algebra]] |
Revision as of 05:48, April 25, 2007
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.