The notion of $2 $-almost Gorenstein ring is a generalization of the notion of almost
Gorenstein ring in terms of Sally modules of canonical ideals. In this paper, we deal with two …

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

This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …

We extend the notion of virtually Gorenstein rings to the setting of arbitrary rings, and prove
that all rings R of finite Gorenstein weak global dimension are virtually Gorenstein such that …

In this paper, we give a characterization of Gorenstein orders over a commutative¿-
dimensional Gorenstein local ring (Theorem 1.1) and study some special classes of …

The nearly Gorenstein property is a generalization of the Gorenstein property. In this paper,
we introduce a new property $(\natural) $ that is broader than the nearly Gorenstein property …

Throughout this paper, R will denote a commutative noetherian ring. If M is an R-module, we
can construct an injective resolvent of M using injective precovers (see Enochs [5]). If we use …

Let A and B be rings and T=(AM 0 B) with M an AB-bimodule. We first construct a semi-
complete duality pair 𝒟 T over T using duality pairs over A and B, respectively. Then we …

Let X be a class of left R-modules, Y be a class of right R-modules. In this article, we
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …

One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …