Definition:Scalar/Module

(Redirected from Definition:Scalar (Module))

Let $\struct {G, +_G, \circ}_R$ be a module, where:
$\struct {G, +_G}$ is an abelian group
$\struct {R, +_R, \times_R}$ is the scalar ring of $\struct {G, +_G, \circ}_R$.
The elements of the scalar ring $\struct {R, +_R, \times_R}$ are called scalars.