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 [H. Krause, O. Solberg, Applications of cotorsion pairs, J. London Math. Soc. 68 (2003)
631–650], the Telescope Conjecture was formulated for the module category ModR of an …

Full article: Gorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

For an artin algebra Λ, cotorsion pairs are studied for the category Mod Λ of finitely
presented Λ‐modules and for the category Mod Λ of all Λ‐modules. It is shown that every …

Unless stated otherwise, throughout this paper all rings are associative with identity and all
modules are unitary modules. Let R be a ring. We denote by R-Mod (Mod-R) the category of …

Let R be a ring and X a complex of R-modules. We give some characterizations of the
dimension of X related to special Gorenstein projective precovers. Let R be a ring such that …

We study the existence of some covers and envelopes in the chain complex category of R-
modules. Let (𝒜, ℬ) be a cotorsion pair in R-Mod and let ℰ𝒜 stand for the class of all exact …

The aim of this paper is to characterize $ n $-Gorenstein rings in terms of Gorenstein
injective modules and the Ext functor. We will show that if $ R $ is a left and right noetherian …

Let R be a Noetherian ring and I an ideal generated by a regular sequence. The category of
I-adically complete R-modules is not Abelian, but it can be enlarged to an Abelian category …

This paper could be regarded as continuation of [7] by AK Gupta and K. Varadarajan.
Throughout this paper we will be following the standard convention in ring theory. The rings …