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 …

We introduce the notion of Gorenstein star modules and obtain some properties and a
characterization of them. We mainly give the relationship between n-Gorenstein star …

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 …

We study a class of modules which can be characterized using a duality theorem, called
finitistic n-self-cotilting. Such a module Q can be characterized using dual conditions of …

Mathematics | Free Full-Text | Tilting and Cotilting in Functor Categories Next Article in Journal
Preliminary Results on the Preinduction Cervix Status by Shear Wave Elastography Previous …

As generalizations of silting modules and star modules, respectively, the notions and basic
properties of Gorenstein weak n-silting and weak n-star modules are given. We mainly show …

In [10], Wei has defined quasi-projective modules to characterize star modules and tilting
modules. The main aim of this paper is to find the relationship between the 1-quasi …

Let T be a tilting module. In this paper, Gorenstein σ [T]-injective modules are introduced and
some of their basic properties are studied. Moreover, some characterizations of rings over …

In this paper, we introduce the definition of n-star subcategories, which is a generalization of
n-star modules and nC-star modules. We give some characterizations of n-star …

Let R be an associative (not necessary commutative) ring. In this paper, we give some
properties of Hom-faithful and Hom-cofaithful R-modules. We investigate P-self-orthogonal …