For any left R-module P with endomorphism ring S, the adjoint pair of functors P⊗ S− and
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …

By a well known theorem of K. Morita, any equivalence between full module categories over
rings R and S, are given by a bimodule RPS, such that RP is a finitely generated projective …

Finally, let B and 8 be two rings, let 9 be a full subcategory of left R-modules closed under
direct sums and factor modules, let be a full subcategory of left S-modules containing ss and …

The use of category equivalences for the study of endomorphism rings stems from the Morita
theorem. In a sense, this theorem can be viewed as stating that if P is a finitely generated …

Let Mod-S denote the category of S-modules, where S is a small pre-additive category.
Using the notion of relative derived categories of functor categories, we generalize Rickard's …

In this paper we expose some recent results (see References) on equivalences between
categories of modules. Let A e R be two rings, DA and GR subcategories of Mod-A and Mod …

This paper studies dualities (or contravariant category equivalences) between two
categories of R-right and S-left modules which are finitely closed) that is, closed under …

Tilting modules arose from representation theory of algebras and are known to furnish
equivalences between categories of modules. We single out some weaker properties which …

A right R-module M with endomorphism ring S is called a costar module if it induces the
duality between the class of MR-torsionless right R-modules X with Hom R (X, MR) finitely …

In this paper we consider the subcategories CMod-R (M∈ MOD-R st M∼-HomR (R, M)) and
DMod-R (M∈ MOD-R st M⊗ RR∼-R) of the category of all right R-modules, MOD-R, for an …