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 …

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 …

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 …

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 …

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 …

Let M be a module over an associative ring R and σ [M] the category of M-subgenerated
modules. Generalizing the notion of a projective generator in σ [M], a module P∈ σ [M] is …

The concept of*-module arose from a remarkable converse of the tilting theorem due to
Menini and Orsatti [25] who essentially proved that for suitable full subcategories G & R-Mod …

The aim of this note is to develop a construction of tilting complexes given by Okuyama [4]
and a construction of two-sided tilting complexes given by Rouquier and Zimmermann [7] …

Let T be an infinitely generated tilting module of projective dimension at most one over an
arbitrary associative ring A, and let B be the endomorphism ring of T. We prove that if T is …

In [7] we proved that two algebras A and F are'derived equivalent', meaning that the derived
category of modules for A is equivalent to that for F, precisely when F is isomorphic to the …