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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 $*$.

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• Review status: reviewed
• Last edited by Holly Swisher on 2019-04-26 13:42:52
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