Definition:Module Automorphism

Definition
Let $\left({G, +_G, \circ}\right)_R$ be an $R$-module.

Let $\phi: G \to G$ be a module isomorphism to itself.

Then $\phi$ is a module automorphism.

Also see

 * Definition:Module Endomorphism
 * Definition:Automorphism Group of Module
 * Definition:Automorphism (Abstract Algebra)