Definition:Right Cancellable Operation

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

The operation $\circ$ in $\left ({S, \circ}\right)$ is right cancellable iff:
 * $\forall a, b, c \in S: a \circ c = b \circ c \implies a = b$

That is, iff all elements of $\left ({S, \circ}\right)$ are right cancellable.

Also see

 * Left Cancellable Operation
 * Cancellable Operation