# 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.

## Also known as

Some sources refer to scalar multiplication as exterior multiplication.