R-Mod-enriched categories are left R-module objects of Cat (Ab) and Cat (Ab) -enriched functors

We establish the feasibility of investigating the theory of R-Mod-enriched categories, for any commutative and unitary ring R, through the framework of Ab-enriched category theory. In particular, we prove that the category of R-Mod-enriched categories, Cat (R-Mod), the category of R-modules inside Cat (Ab), LModₑ (Cat (Ab) ), and the category of Cat (Ab) -enriched functors, Fun^Cat (Ab) (R, Cat (Ab) ) are equivalent.