… J0rgensen's notion of C-Gorenstein projective modules to the non-… Gorenstein projective
modules within this setting. We then study the resulting modules of finite Geprojective dimension…

… In the last years (Gorenstein) homological dimensions relative to a semidualizing module C
… works as interesting extensions of (Gorenstein) homological dimensions. In this paper, we …

… the G C -projective dimension of modules. When S C R is a faithfully semidualizing bimodule,
we … description of the G C -projective dimension of modules with respect to a semidualizing …

… that a finitely generated R-module M with finite Gorenstein dimension is reflexive if and only
if … an analogous question for finitely generated modules with finite G C -dimension, we give a …

… 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 …

… C a semidualizing module. We investigate the (weak) C-Gorenstein global dimension of R
and we get a simple formula to compute the C-Gorenstein global dimension. Moreover, we …

… ’s notion of C-Gorenstein projective modules to the non-… and Gorenstein projective modules
within this setting. We then study the resulting modules of finite GC -projective dimension, …

… for modules of finite GC-dimension which are horizontally linked with respect to S, where C
and S are semidualizing modules … In most results, we work with two semidualizing modules, …

… the shortest resolution of M by the modules of generalized Gorenstein dimension zero (see
Definition 3.7). Motivated by Enochs and Jenda’s extensions in [17] of Auslander and Bridger’…

… At the end of this section, we study the behavior of modules over rings of finite C-Gorenstein
global dimension, and give a partial answer to the question posed by Takahashi and White …