‎ Let $ C $ be a semidualizing module‎.‎ We first investigate the properties of‎‎ finitely generated
$ G_C $-projective modules‎.‎ Then‎,‎ relative to $ C $‎,‎ we introduce and study the rings over …

Let $ C $ be a semidualizing module. We first investigate the properties of finitely generated
$ G_C $-projective modules. Then, relative to $ C $, we introduce and study the rings of …

Let R be a commutative (possibly non-Noetherian) ring (in order to make things less
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …

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 …

Let S and R be rings and _SC_R be a semidualizing bimodule. We first give the definitions
of C-transpose and nC-torsionfree and give a criterion for a module A to be G_C-projective …

In this paper we study some properties of GC-projective, injective and flat modules, where C
is a semidualizing module and we discuss some connections between GC-projective …

Let C be a semidualizing module over a commutative Noetherian ring R. We investigate
duality pairs induced by C-Gorenstein projective modules. It is proven that R is Artinian if …

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 ℰ be an injectively resolving subcategory of left R-modules. We study a particular case of
ℰ-Gorenstein injective and flat modules, called strongly ℰ-Gorenstein injective and flat …

In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …