We investigate symmetry in the vanishing of Ext for finitely generated modules over local
Gorenstein rings. In particular, we define a class of local Gorenstein rings, which we call AB …

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 …

A ring R is called Gorenstein hereditary (G-hereditary) if every submodule of a projective
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …

In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …

We investigate the properties of categories of GC-flat R-modules where C is a semidualizing
module over a commutative noetherian ring R. We prove that the category of all GC-flat R …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. We prove a
result about the covering properties of the class of relative Gorenstein injective modules with …

Let $\varphi\colon R\rightarrow A $ be a ring homomorphism, where $ R $ is a commutative
noetherian ring and $ A $ is a finite $ R $-algebra. We give criteria for detecting the ascent …

In this paper we mainly study the homological properties of dual modules over k-Gorenstein
rings. For a right quasi k-Gorenstein ring Λ, we show that the right self-injective dimension of …

Let R be a commutative Noetherian local ring, and denote by modR the category of finitely
generated R-modules. In this paper, we consider when modR has a nontrivial extension …