… This extends Enochs and García Rozas's notion of Gorenstein injective (Gorenstein … C -injective
(G C -projective) if and only if X m is a G C -injective (G C -projective) module for …

… the top local cohomology module Hdim R α (R) is a Gorenstein injective R-module for any
ideal a of R. Notice that an injective module is a Gorenstein injective module. In Yoshizawa [20…

… and Gorenstein C-flat modules). With the method of … that Gorenstein C-projective (resp.,
C-injective, C-flat) modules have … that Gorenstein projective (resp., injective, flat) modules have a …

… a semidualizing Rmodule. We prove a result about the covering properties of the class of
relative Gorenstein injective modules … every GC-injective module G, the character module G+ is …

… in the commutative Noetherian setting, where C is a semidualizing module, while we focus
on the specific case of Gorenstein projective and Gorenstein injective modules in the general …

… of a dualizing (canonical) module and a free module of rank one. In this … a semidualizing
module C. Indeed, we give a characterization of a dualizing module C in term of GC-injectivity of …

… We also prove that the subcategories of C-Gorenstein injective left R-modules (Gorenstein …
Note that all semidualizing modules are faithfully semidualizing over a commutative ring [16, …

… injective modules… injective modules with respect to a semidualizing bimodule SCR, where
R and S are arbitrary associative rings. It is proven that the class of GC-weak injective modules …

… module gives rise to three new homological dimensions which we call C -Gorenstein projective,
C -Gorenstein injective, … Since M is C -Gorenstein injective, we in particular get a short …

… -stein at modules with respect to semi-dualizing modules, … replaces projective and injective
modules, the elementary … the Gorenstein projective and the Gorenstein injective modules…