Definition:Vector/Module

Definition
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 abelian group $\struct {G, +_G}$ are called vectors.