It is well known that the concept of cotilting modules generalizes injective cogenerators and
in turn, the concept of cosilting modules generalizes cotilting modules. In this paper, we …

We prove that all quasi-cotilting modules are pure-injective and cofinendo. It follows that the
class Cogen M is always a covering class whenever M is a quasi-cotilting module. Some …

The notion of cosilting module was recently introduced as a generalization of the notion of
cotilting module. In this paper, we give a characterization of (partial) cosilting modules in …

In this paper, we firstly give some basic properties on quasi-cotilting modules. With the help
of these properties, we obtain a Quasi-cotilting Theorem (see Theorem 2.8). In particular, the …

We introduce the notions of silting comodules and finitely silting comodules in quasi-finite
category, and study some properties of them. We investigate the torsion pair and dualities …

Equivalences induced by n-self-cotilting comodules Page 1 Adv. Pure Appl. Math. 2 (2010),
109 – 131 DOI 10.1515/APAM.2010.029 © de Gruyter 2010 Equivalences induced by n-self-cotilting …

We study cotilting comodules and f-cotilting comodules and give a description of localization
of f-cotilting comodules and classical tilting comodules. First, we introduce T-cotilting …

We study the class of modules, called cosilting modules, which are defined as the
categorical duals of silting modules. Several characterizations of these modules and …

We introduce and study the new concepts of cosilting complexes, cosilting modules and AIR-
cotilting modules. We prove that the three concepts AIR-cotilting modules, cosilting modules …

Let R and S be arbitrary associative rings. A left R-module RW is said to be cotilting if the
class of modules cogenerated by RW coincides with the class of modules for which the …