Definition:Scalar Multiplication/Module

Definition
Let $\struct {G, +_G, \circ}_R$ be an module (either a left module or a right module or both), where:


 * $\struct {R, +_R, \times_R}$ is a ring


 * $\struct {G, +_G}$ is an abelian group.

The operation $\circ: R \times G \to G$ is called scalar multiplication.