… tilting and C-tilting R-modules, where C is a semidualizing R-module. Also, we show that …
finitely generated C-tilting R-module is C-projective, where C is a semidualizing R-module. …

… ” in Proposition 3.2 where we show that an R-module M is C-FP-injective C-FP-projective …
module, and S is a left Noetherian ring by (2). So C is a projective Rop-module for C is a finitely …

… Thus, the class of finitely generated G-projective modules … , we will observe finitely generated
G-projective modules, and … in the category of finitely generated modules. The main purpose …

… For example, if the projective dimension of each finitely generated R-module is finite, then R
… the Gorenstein projective dimension of complexes with respect to a semidualizing module is …

… .2] proved that every finitely presented Gorenstein projective R-module is Gorenstein flat over
a … projective modules to the non-Noetherian ring, where she called GC-projective modules, …

… some new criteria for a semidualizing module to be dualizing in … C is dualizing if and only if
every finitely generated R-module … in an R-module with ℱ C -projective dimension at most n. …

… finitely generated modules. Enochs and Jenda [7] defined Gorenstein projective modules
whether the modules are finitely … R and a semidualizing R-module C, it is shown that a finitely …

… projective modules relative to a semidualizing module and related topics. Firstly, we study DC
-projective dimensions and DC -projective modules … Pi in P is finitely generated projective. …

… Let C be a semidualizing module. We first investigate the properties of finitely generated
GC -projective modules. Then, relative to C, we introduce and study the rings over which every …

… Gorenstein projective R-modules relative to the Auslander class AC (R) of a semidualizing (…
f in (the class of finitely generated Gorenstein projective modules) is contravariantly finite and …