Axiom:Right Module Axioms

Definition
Let $\struct {R, +_R, \times_R}$ be a ring.

Let $\struct {G, +_G}$ be an abelian group.

A right module over $R$ is an $R$-algebraic structure with one operation $\struct {G, +_G, \circ}_R$ which satisfies the following conditions:

These stipulations are called the right module axioms.

Also see

 * Definition:Left Module Axioms
 * Definition:Module