Definition:Associated Z-Module Functor

Definition
Let $\mathbf{Ab}$ be the category of abelian groups.

Let $\Z$ be the ring of integers and $\mathbf{Z-Mod}$ the category of unitary modules over $\Z$.

The associated Z-module functor $\mathbf{Ab} \to \mathbf{Z-Mod}$ is the covariant functor with

Also see

 * Associated Z-Module Functor is Functor
 * Correspondence between Abelian Groups and Z-Modules