It is proved in [Strongly Gorenstein projective, injective and flat modules, J. Algebra 320
(2008) 2659–2674, Theorem 2.8] that a finitely presented torsion-free module is SG …

We study some homological properties of Gorenstein FP∞-injective modules, and we prove
(1) a ring R is not necessarily coherent if every Gorenstein FP∞-injective R-module is …

Abstract The concept of Gorenstein Krull domains can be viewed as a Gorenstein analogue
of Krull domains, which are not necessarily integrally closed. This allows us to study those …

Let R be a commutative ring with identity. An R-module E is said to be weak injective if Ext R
1 (N, E)= 0 for any super finitely presented R-module N. In this article, for a domain R with …

Let R be a commutative ring, and let C be a semidualizing R-module. We introduce the
notion of finitely presented C-injective modules, finitely presented C-flat modules, weak C …

In this paper we study the relation between Gorenstein derived and pure derived categories
under some conditions. Then, we also study the relation between Gorenstein singularity and …