Definition:Endomorphism Ring of Module

Definition
Let $R$ be a ring.

Let $M$ be an $R$-module.

The endomorphism ring $\operatorname{End}_R(M)$ is the ring of all endomorphisms of $M$ where:
 * Multiplication is composition of mappings
 * Addition is point-wise

Also see

 * Definition:Module Endomorphism
 * Composition of Linear Mappings is Linear Mapping
 * Definition:Set of All Linear Transformations