We introduce and study the notion of Gorenstein silting complexes, which is a generalization
of Gorenstein tilting modules in Gorenstein-derived categories. We give the equivalent …

We first make an approach to the Mittag-Leffler condition in the theory of relative Ext-
orthogonal classes and establish the balance of the relative derived functors of the Hom and …

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 …

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 …

We describe the Gorenstein derived categories of Gorenstein rings via the homotopy
categories of Gorenstein injective modules. We also introduce the concept of Gorenstein …

Let A be a complete and cocomplete abelian category with the additional assumption that
any direct sum and product of short exact sequences are exact. We explore the relation …

Let C and D be two classes of left R-modules, l DC= the class of all left R-modules admitting
exact left C-resolutions which are Hom (-, D)-exact, r CD= the class of all left R-modules …

In this paper, we introduce a special kind of relative (co) resolutions associated with a pair of
classes of objects in an abelian category C. We will see that, by studying this relative (co) …