… -projective modules when C = R. In Section 4, we study the properties of strongly Ding flat
modules with respect to a semidualizing module. … in P is finitely generated projective. A class of …

… Abstract 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 of Goren…

… modules relative to a not necessarily semidualizing module C and we find conditions for the
class of G C -projective modules to … projective dimension, while finitely generated modules in …

… , then every module with finite projective dimension has finite … admits a finitely generated
module of finite projective dimen… that, if M is an R-module of finite projective dimension and finite …

… a semidualizing module C to be projective … S-projective resolution by hypothesis. Then
there exists a quasi-isomorphism α : L → C such that Li is a finitely generated projective S-module …

… -projective modules. In the following theorem it is shown that every module in ℬ C (R), with
finite G C -projective dimension … If R admits a nonzero finitely generated module M with 𝒢ℐ C …

… A finitely generated R-module C is called semidualizing if the natural homothety … For
every finitely generated projective R-module P, the modules P and \(C \otimes _{R}P\) …

… The elements of Pic(R) are the isomorphism classes [P] of finitely generated rank 1 projective
R-modules P. The group structure on Pic(R) is given by tensor product [P][Q]=[P ⊗R Q]. Let …

… GC-projective modules, we refer the reader to see [8, 16]. … By [8, Example 2.8], we know that
projective modules are C-… integer n, then for every finitely generated R-module M, we get that …

… for modules over semiperfect Noetherian rings (ie, finitely generated modules over such
rings have projective … The class of C-projective modules is defined as P C = { P ⊗ R C ∣ P …