We provide additional information concerning the important Matlis category equivalence
between the categories of h-divisible torsion and R-complete torsion-free R-modules over …

A right R-module UR is said to be cotilting if Cog (UR)=⊥ UR, where⊥ UR= KerExt1R (, U).
So cotilting modules generalize injective cogenerators. If U is cotilting, then T=(KerHom …

A Morita-duality is an additive contravariant category-equivalence between two categories of
R-right-and S-left-modulesr, which are both closed under sub-and factor-modules and …

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 …

Given an RT-bimodule RKT and RS-bimodule RMS, we study how properties of RKT affect
the K-double dual M**= Hom T [Hom R (M, K), K] considered as a right S-module. If RK is a …

The study of dualities between categories of modules generalizing Morita duality cannot
dispense with the use of topologies (see [1, 2, 3, 7, 8]). In this paper we try to give a new …

시-RESOLUTIONS AND GORENSTEIN CATEGORIES WITH RESPECT TO A
SEMIDUALIZING BIMODULES 1. Introduction Auslander and Bridger [1] in Page 1 J …

Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. The notion
of C-tilting R-modules is introduced as the relative setting of the notion of tilting R-modules …

Let $ T_R $ be a right $ n $-tilting module over an arbitrary associative ring $ R $. In this
paper we prove that there exists an $ n $-tilting module $ T'_R $ equivalent to $ T_R $ which …

A contra variant category-equivalence between categories of right R-modules and left S-
modules (all rings have units, all modules are unitary) that contain RR, SS and are closed …