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.

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