… f-projective modules with respect to a semidualizing R-module C, which are called C–f-projective
modules… Artinian rings using C–fprojective modules. Some known results are extended. …

… In this paper, we investigate semi dualizing modules and associated relative cohomology …
a dualizing module, when one exists, and all finitely generated rank 1 projective modules. …

… -projective modules over (possibly non-Noetherian) commutative rings, where C is a
semidualizing module… class of finitely generated Ge-projective modules is closed under …

… m(ω, N) with respect to ω is at most n − 1 for any finitely presented left S-… subclasses of
ModS consisting of projective modules and flat modules, respectively. For a module M ∈ ModR, …

… If MR is a finitely generated projective R op -module, then the … finite projective resolution and
I is an injective S-module, then … , Relative projective modules and relative injective modules, …

… G-dimension for finitely generated modules over Noetherian … Gorenstein projective modules
and the C-Gorenstein projective … C -projective modules and the G C -projective dimension of …

… which extends the notion of GC-projective modules found in [13] (… finitely generated modules
are finitely generated, this implies that the class of finitely generated GC-projective modules …

… A finitely generated R-module C is called semidualizing if the natural homothety … An R-module
D is called dualizing if it is semidualizing and has finite injective dimension. …

… For example, specializing D to the class of injective modules and projective modules,
respectively… For example, a finitely generated projective R-module of rank 1 is semidualizing. If R …

… module with finite projective dimension is exactly the finitely generated projective right R-module…
of totally reflexive modules and the Bass class with respect to a semidualizing bimodule. …