… semiperfect ring and all R-modules are finitely generated. Note that a commutative ring R is
… the set of Rhomomorphisms of M to N which pass through projective modules. That is, an R-…

… is a commutative Noetherian ring and a “finite module” means a “finitely generated module”.
… of projective modules in AC(R), we have the class of Cprojective modules in BC(R). Thus, C-…

… (semidualizing bimodule), then FP − id(SW) ⩽ n and FP − id(WR) ⩽ n if and only if every finitely
presented left S-module and every finitely … each Pi is finitely generated (projective). Let S …

… of Auslander’s G-modules to the non-finitely modules. An R-… projective modules and C-Gorenstein
projective modules, we … the modules are unitary, and C is a semidualizing R-module. …

… C be a semidualizing R-module. We introduce the notion of finitely presented C-injective
modules, finitely … This notion is introduced in [8] as a generalization of projective modules. In the …

… the class of projective modules then QC is just the class of C -projective … respect to C , where
C is a semidualizing module over a Noetherian ring, and to be GI<∞ , the class of modules …

… , where C is a semidualizing module. We show firstly that the class of modules admitting a
Tate FC -resolution is equal to the class of modules of finite G(FC )-projective dimension. Then …

… A finitely generated R-module C is called semidualizing if the homothety map R −→ …
projective R-module is a direct summand of a C-free R-module and over a local ring every finitely …

… G-dimension with respect a semidulizing module for finitely generated modules. Motivated
by … projective modules as GC -projective modules where C is a semidualizing module. Many …

… 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 …