… and Gorenstein flat modules with respect to a semidualizing module C over … projective,
GC-injective and GC-flat modules, respectively. They proved that an R-module M is GC-projective …

… semi-dualizing bimodule for the noetherian algebra Λ, we investigate the generalized Gorenstein
dimension of finitely generated Λ-modules… is, it contains projective modules, and in any …

… By a finite Rmodule we mean a finitely generated R-module. … that if P is a finite projective
R-module, then TrC(P) is addR(C)… isomorphic to a direct sum of finitely many copies of C. The …

… in [1] the transpose of a finitely generated module. This notion also … projective modules,
where C is a semidualizing bimodule. Replacing the projective presentation by the GC-projective …

… R and a semidualizing (R,S)-bimodule C, an R-module M is … projective modules associated
to a Σ-self-orthogonal module … projective modules associated to a Σ-self-orthogonal module …

… consisting of GC -projective (injective) modules, although they … Bass class with respect to a
semidualizing module is one kind … ) resolution by finitely generated projective left R-modules. (…

… all projective modules and C contains all injective modules. In … system { P i } of (finitely
generated) projectives P i . So it … Let R be a commutative Noetherian ring with a semidualizing R-…

… relative to a semidualizing bimodule ω, the finitely generated ω-k-syzygy modules and ω-k-torsionfree
modules … ) is extension closed in terms of projective dimension of certain modules. …

… of (weak) flat modules, projective modules and AC (S) … of semidualizing bimodules include
the free module of rank … coherent if any finitely generated left ideal of R is finitely presented. …

… From Definition 3.1, we know the semidualizing bimodule is … , a semidualizing bimodule is
a Wakamatsu tilting module by … deleted projective resolution with each term finitely generated…