Definition:Cancellable Element/Right Cancellable

Definition
Let $\left ({S, \circ}\right)$ be an algebraic structure.

An element $x \in \left ({S, \circ}\right)$ is right cancellable iff:


 * $\forall a, b \in S: a \circ x = b \circ x \implies a = b$

Also see

 * Left Cancellable Element