show · alg.binary_operation.identity all knowls · up · search:

If $*$ is a binary operation on a set $A$, then $A$ has an identity element with respect to $*$ if there exists $e\in A$ such that for all $a\in A$, $$ a*e = e*a = a.$$ Such an identity element $e$, if it exists, is unique and is thus called the identity element of $A$ with respect to $*$.

Knowl status:
  • Review status: reviewed
  • Last edited by Holly Swisher on 2019-04-26 13:42:52
Referred to by:
History: (expand/hide all) Differences (show/hide)