… bimodules, which we introduce in this paper to generalize semi-dualizing modules in the …
Pi is a finitely generated projective module, then we say that P • is a projective complex. For …

… a finitely generated module of finite projective and injective dimensions with respect to a
semidualizing module is Gorenstein. This result recovers a celebrated theorem of Foxby. …

… He proved that the finitely generated modules in the … We will see that C is close to being a
semidualizing bimodule (… class of C-Gorenstein projective modules. (These were introduced by …

… Let C be a semidualizing module of R and M a finitely … C-projective and C-injective finitely
generated R-modules. Set ̂ … of finitely generated R-modules of C-projective, projective, C-…

… for finitely generated modules, which is a refinement of … Moreover, for semi-dualizing R-module
C and the trivial … Section 3 is devoted to the study of the GC-projective modules and …

… A finitely generated R-module C is semidualizing if the … study of semidualizing modules.
The most important classes of … of projective modules P, flat modules F and injective modules I, …

… finitely generated R-module C is semidualizing if the natural homothety morphism R → Hom(C,
C) is an isomorphism and . Semidualizing modules … -module M is C-Gorenstein projective …

… i admits a degreewise finitely generated projective resolution. … semidualizing module 𝒞 is in
fact a wakamatsu tilting module… admits a degreewise finitely generated projective resolution, …

… In this paper, we first prove, in 3.2, that if R is relative Cohen-Macaulay with respect to an …
We say that a finitely generated R-module M is relative Cohen Macaulay with respect to a if …

… module, if it exists, is an example of a semidualizing module. … semidualizing module, and M
denotes a finitely generated R-… -projective modules is defined as {P ⊗R C : P is a projective R-…