In this paper, we introduce the notion of C-Gorenstein weak injective modules with respect to
a semidualizing bimodule $ _SC_R $, where R and S are arbitrary associative rings. We …

Let $ R $ be a ring, $ F $ a subbifunctor of the functor Ext $^{1} _ {R}(-,-) $, $\mathcal {W} _
{F} $ a self-orthogonal class of left $ R $-modules respect to $ F $. We introduce $\mathcal …

A NOTE ON CARTAN-EILENBERG GORENSTEIN CATEGORIES Bo Lu*, Wei Ren and
Zhongkui Liu Abstract 1. Introduction A generalization of c Page 1 B. LU, W. REN AND Z. LIU …

Let R be a commutative Noetherian ring and C a semidualizing R-module. We obtain an
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …

In order to establish the Foxby equivalences associated to strongly Gorenstein modules, we
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-Gorenstein …

This is a study of Ding projective modules relative to a semidualizing module and related
topics. Firstly, we study DC-projective dimensions and DC-projective modules under change …

Let R and S be rings and RωS a semidualizing bimodule. We investigate when the double
functor TorS i (ω, Exti R (ω,−)) preserves epimorphisms and the double functor Exti R (ω …

Let R be a commutative ring and C a semidualizing R-module. We investigate the relations
between C-flat modules and C-FP-injective modules and use these modules and their …

Abstract Let 𝒱, 𝒲, 𝒴, 𝒳 be four classes of modules. We introduce a notion of (𝒱, 𝒲, 𝒴, 𝒳)-
Gorenstein modules which unifies a number of well-known Gorenstein modules. Under …

This paper mainly study the stability of Gorenstein modules with respect to a semidualizing
module C (ie, Gorenstein C-projective, Gorenstein C-injective and Gorenstein C-flat …