\begin{definition}[Definition:Scalar/R-Algebraic Structure]
Let $\struct {S, *_1, *_2, \ldots, *_n, \circ}_R$ be an $R$-algebraic structure with $n$ operations, where:
:$\struct {S, *_1, *_2, \ldots, *_n}$ is an algebraic structure with $n$ operations
:$\struct {R, +_R, \times_R}$ is the scalar ring of $\struct {S, *_1, *_2, \ldots, *_n, \circ}_R$.
The elements of the scalar ring $\struct {R, +_R, \times_R}$ are called '''scalars'''.
Category:Definitions/Module Theory
Category:Definitions/Linear Algebra
\end{definition}