… to a semidualizing module have the ability to detect when a semidualizing module is …
Finally, we prove that the GC-projective dimension of a finitely generated R-module is closely …

… A finitely generated R-module C is semidualizing if it is self-… R with dualizing module D
admits a semidualizing module C … a projective resolution of R1 ⊗R R2 ∼= Q as an R1-module. …

… module M is said to be C-Gorenstein projective if there exists an exact sequence of R-modules …
Are the conditions on C to be semidualizing necessary so that the relative homological …

… gives rise to three new homological dimensions which we call C -Gorenstein projective, C
-… for any semi-dualizing complex C , and any complex Z with bounded and finitely generated …

… an R-module M with respect to a semidualizing R-module C. … B of all B-Gorenstein projective
modules. We obtain that for M … exact sequence of finitely generated C-projective modules: Y …

… Now let C denote a semidualizing R-module, ie it is finitely … For example, it is clear that
R is semidualizing as a module … Note that every finite projective Rmodule is totally C-reflexive …

… complex of modules, which is called a semidualizing complex… of a finitely generated G-projective
module (in other words, a … of a semidualizing module and a G-projective module will be …

… 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. …

… projective modules whether the modules are finitely generated or not. Also, they defined the
Gorenstein projective dimension for arbitrary (non-finitely … study of semidualizing modules. …

… modules considered in this article are assumed to be finitely generated. An R-module C is
said to be semidualizing if … A semidualizing module admits a duality property, which has been …