Definition:Scalar Multiplication/Vector Space

Definition
Let $\struct {G, +_G, \circ}_K$ be a 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.