\begin{definition}[Definition:Set of All Linear Transformations/Linear Operators]
Let $R$ be a ring.
Let $G$ be an $R$-module.
The set of all linear operators on $G$ is denoted:
:$\map {\LL_R} G := \set {\phi: G \to G: \phi \text{ is a linear operator} }$
If it is clear (and therefore does not need to be stated) that the scalar ring is $R$, then this can be written $\map \LL G$.
\end{definition}