Definition:Ring Representation

Definition
Let $R$ be a ring.

Let $M$ be an abelian group.

A ring representation of $R$ on $M$ is a ring homomorphism from $R$ to the endomorphism ring $\map {\operatorname {End} } M$.

Also see

 * Definition:Ring Antirepresentation
 * Definition:Module over Ring
 * Correspondence between Ring Actions and Ring Representations