Definition:Right Module

Definition
Let $\left({R, +_R, \times_R}\right)$ be a ring.

Let $\left({G, +_G}\right)$ be an abelian group.

A right module over $R$ is an $R$-algebraic structure $\left({G, +_G, \circ}\right)_R$ with one operation $\circ$, the (right) ring action, which satisfies the right module axioms:

Also see

 * Definition:Left Module
 * Definition:Module