Definition:Scalar/Vector Space

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


 * $\struct {G, +_G}$ is an abelian group


 * $\struct {K, +_K, \times_K}$ is the scalar field of $\struct {G, +_G, \circ}_K$.

The elements of the scalar field $\struct {K, +_K, \times_K}$ are called scalars.