Definition:One-Sided Inverse

Definition
Let $S, T$ be sets where $S \ne \O$, that is, $S$ is not empty.

A one-sided inverse (mapping) from $S$ to $T$ is a mapping which is either:
 * a left inverse mapping

or:
 * a right inverse mapping

but (specifically) not both.

Also see

 * Definition:Two-Sided Inverse