… for finitely generated modules of finite G-dimension, finite … dimension where C is a
semidualizing module, as these notions have not … injective and projective modules,Trans. Amer. …

… Auslander and Bridger in [1], introduced the notion of so-called G-dimension for finitely
generated modules over commutative Noetherian rings. Enochs and Jenda defined in [4] a …

… G-dimension for finitely generated modules over Noetherian rings. … projective modules for
arbitrary modules over a general ring, which is a generalization of finitely generated modules …

… For a commutative ring R, we say that a finitely generated R-module C is semidualizing if the
natural … Also C ∼ = R if and only if C is semidualizing and has finite projective dimension. …

… R and a semidualizing (R,S)-bimodule C, an R-module M is … projective modules associated
to a Σ-self-orthogonal module … projective modules associated to a Σ-self-orthogonal module …

… the theory of semidualizing modules and relative homological … ) be the category of finitely
generated projective R-modules. … with respect to resolving subcategories of projective modules …

… projective resolution of a module M is a projective resolution P of M such that each Pi is a
finitely generated projective module… AddS C is just the class of C -projective modules in Mod S. …

… Noetherian ring R such that I is a semidualizing R-module, and M is a finitely generated R-…
with respect to the ring preserves the class of finitely generated Gorenstein projective modules …

… GC-projective modules, we refer the reader to see [8, 16]. … By [8, Example 2.8], we know that
projective modules are C-… integer n, then for every finitely generated R-module M, we get that …

… A semidualizing module C induces some interesting classes … finitely presented and admits
a degreewise finitely generated … C-projective modules are always C-Gorenstein projective, we …