\begin{definition}[Definition:Regular Representations/Right Regular Representation]
Let $\struct {S, \circ}$ be a magma.
The mapping $\rho_a: S \to S$ is defined as:
:$\forall x \in S: \map {\rho_a} x = x \circ a$
This is known as the '''right regular representation of $\struct {S, \circ}$ with respect to $a$'''.
\end{definition}