Definition:Inverse (Abstract Algebra)/Right Inverse

Definition
Let $\left({S, \circ}\right)$ be a monoid whose identity is $e_S$. An element $x_R \in S$ is called a right inverse of $x$ iff $x \circ x_R = e_S$.

Also see

 * Left Inverse
 * Inverse Element


 * Right Inverse for All is Left Inverse