If $*$ is a binary operation on a set $A$ having identity element $e\in A$, then an element $a\in A$ has an **inverse** in $A$ with respect to $*$ if there exists $a'\in A$ such that
$$ a*a' = a'*a = e.$$

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by Holly Swisher on 2019-04-26 14:09:07

**Referred to by:**

**History:**(expand/hide all)

- 2019-04-26 14:09:07 by Holly Swisher (Reviewed)
- 2019-04-26 14:06:12 by Holly Swisher (Reviewed)
- 2018-08-06 02:23:25 by John Jones

**Differences**(show/hide)