Symbols:Greek/Rho/Right Regular Representation

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Right Regular Representation

$\rho_a$


Let $\struct {S, \circ}$ be an algebraic structure.


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 $a$.


The $\LaTeX$ code for \(\map {\rho_a} x\) is \map {\rho_a} x .