… Throughout this paper, R is a commutative Noetherian ring and all modules are unital. The
notion of a “semidualizing module” is a central notion in relative homological algebra. Ever …

… with all G i , G i G C -projective, such that Hom S (𝔾, T) is still exact for any module T which …
G C -projective dimension of modules. When S C R is a faithfully semidualizing bimodule, we …

… modules over (possibly non-Noetherian) commutative rings, where C is a semidualizing
module… proper resolution X and N is an R-module, the nth relative homology module and the nth …

… ) and Vasconcelos [12] (spherical modules), which can be viewed as a generalization of …
module and free module of rank one. Relative algebra with respect to a semidualizing module …

… In the last years (Gorenstein) homological dimensions relative to a semidualizing module
C have been subject of several works as interesting extensions of (Gorenstein) homological …

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

… for a local integral domain, then every GC -injective R-module is divisible. In addition, …
modules via relative Gorenstein homological dimensions with respect to a semidualizing module. …

… 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 …

… relative setting with respect to two semidualizing modules C and S. More precisely, for an
R-… concept of transpose of a module with respect to a semidualizing module C (see Geng [8]). …

… Abstract Let C be a semidualizing module over a … We investigate duality pairs induced by
C-Gorenstein projective modules. … of relative cohomology theories with respect to semidualizing …