# Category:Definitions/Inverse Elements

This category contains definitions related to Inverse Elements.
Related results can be found in Category:Inverse Elements.

The element $y$ is an inverse of $x$ if and only if:

$y \circ x = e_S = x \circ y$

that is, if and only if $y$ is both:

a left inverse of $x$

and:

a right inverse of $x$.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Definitions/Inverse Elements"

The following 9 pages are in this category, out of 9 total.