Definition:Regular Representations/Right Regular Representation

Definition
Let $\left ({S, \circ}\right)$ be a semigroup. The mapping $\rho_a: S \to S$ is defined as:


 * $\forall a \in S: \rho_a \left({x}\right) = x \circ a$

This is known as the right regular representation of $\left ({S, \circ}\right)$ with respect to $a$.