In this paper, weak tilting modules are introduced and investigated. We show that all tilting
modules are weak tilting modules, but the converse is not true. We prove that a module is …

Let R be a Gorenstein ring. We first study Gorenstein orthogonal classes and Gorenstein
cotorsion pairs of R-modules. Then, we introduce the concept of Gorenstein weak tilting R …

In this paper, we study when the kernel of a complete hereditary cotorsion pair is the additive
closure of a tilting module. Applications go in three directions. The first is to characterize …

We introduce the notion of ω-Gorenstein modules, where ω is a faithfully balanced self-
orthogonal module. This gives a common generalization of both Gorenstein projective …

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 apply tilting theory to study modules of finite projective dimension. We introduce the
notion of finite and cofinite type for tilting and cotilting classes of modules, respectively …

In this paper, firstly, we characterize some rings by strict Mittag-Leffler conditions. Then, we
investigate when Gorenstein projective modules are Gorenstein flat by employing tilting …

The theory of finitely generated relative (co) tilting modules has been established in the
1980s by Auslander and Solberg, and infinitely generated relative tilting modules have …

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 …

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 …