… modules are mentioned in [4] as a generalization of finitely generated projective modules. In
… of torsionless and reflexive modules to C-torsionless and C-reflexive modules, where C is a …

… : An R-module is semidualizing if C is finitely … of semidualizing modules over a commutative
(possibly non-Noetherian) ring, and investigated some properties of G C -projective modules. …

… When C is a semidualizing module, the GC-dimension of a finitely generated R-… is the set
of isomorphism classes of finitely generated locally free (ie, projective) Rmodules of rank 1 with …

… semidualizing module over a commutative Noetherian ring R. We investigate duality pairs
induced by C-Gorenstein projective modules… A finitely generated R-module C is semidualizing …

… of projective semidualizing modules. (It is known that every projective semidualizing module
has … According to [6, Corollary 2.2.5] any finitely generated projective Rmodule of rank 1 is …

… C-projective, C-weak flat) modules. Suppose that S C R is a … A finitely generated R-module
C is semidualizing if the … Yoshino extended the notion of semidualizing modules to a pair of …

… projective modules by the free modules. We then define and study the global dimensions of
rings relative to a semidualizing module … class of finitely generated C-projective R-modules is …

… -module M and finitely generated R-module C, we may construct resolutions using C-projective
or C-injective modules … The class of C-projective modules is denoted PC. We say M is C-…

… A finitely generated R-module C is semidualizing if Hom R (C… Thus, the module D is precisely
a semidualizing module of … Let C be a finitely generated R-module of infinite projective …

… FP-idR(C) ≤ n if and only if every finitely presented left S-module has GC -projective …
GC-projective modules and GC-flat modules are useful in the study of dualizing modules. …