Definition:Scalar Multiplication/Vector Space

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Definition

Let $\struct {G, +_G, \circ}_K$ be an vector space, where:

$\struct {K, +_K, \times_K}$ is a field
$\struct {G, +_G}$ is an abelian group.


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


Also known as

Some sources refer to scalar multiplication as exterior multiplication.


Sources