Definition:Z-Module Associated with Abelian Group

Definition
Let $\struct {G, *}$ be an abelian group with identity $e$.

Let $\struct {\Z, +, \times}$ be the ring of integers.

Also see

 * Equivalence of Definitions of Z-Module Associated with Abelian Group
 * Z-Module Associated with Abelian Group is Unitary Z-Module
 * Correspondence between Abelian Groups and Z-Modules