Definition:Identity (Abstract Algebra)/Right Identity

Definition
Let $\left({S, \circ}\right)$ be an algebraic structure. An element $e_R \in S$ is called a right identity iff:
 * $\forall x \in S: x \circ e_R = x$

Also known as

 * Right neutral element

Also see

 * Definition:Left Identity
 * Definition:Two-Sided Identity