Definition:Category of Unitary Modules

Definition
Let $R$ be a commutative ring with unity.

The category of unitary $R$-modules is the category $\mathbf{R-Mod}$ with:

Also see

 * Definition:Category of Modules
 * Definition:Category of Unitary Right Modules
 * Definition:Category of Unitary Left Modules
 * Definition:Category of Vector Spaces