Definition:Vector Space

Also defined as
Some sources take a more general view of how to define a vector space, and allow the scalar ring to be a division ring:

Also see

 * Equivalence of Definitions of Vector Space


 * Definition:Scalar Field (Linear Algebra)


 * Definition:Normed Vector Space

As a vector space is also a unitary module, all the results which apply to modules, and to unitary modules, also apply to vector spaces.