Finitely projective modules with respect to a semidualizing module

L Mao - Journal of Algebra and Its Applications, 2019 - World Scientific
… f-projective modules with respect to a semidualizing R-module C, which are called C–f-projective
modules… Artinian rings using C–fprojective modules. Some known results are extended. …

Gorenstein projective dimension with respect to a semidualizing module

D White - Journal of Commutative Algebra, 2010 - JSTOR
… -projective modules over (possibly non-Noetherian) commutative rings, where C is a
semidualizing module… class of finitely generated Ge-projective modules is closed under …

Coreflexive modules and semidualizing modules with finite projective dimension

X Tang, Z Huang - Taiwanese Journal of Mathematics, 2017 - projecteuclid.org
… m(ω, N) with respect to ω is at most n − 1 for any finitely presented left S-… subclasses of
ModS consisting of projective modules and flat modules, respectively. For a module M ∈ ModR, …

Homological aspects of semidualizing modules

R Takahashi, D White - Mathematica Scandinavica, 2010 - JSTOR
… In this paper, we investigate semi dualizing modules and associated relative cohomology …
a dualizing module, when one exists, and all finitely generated rank 1 projective modules. …

Semidualizing modules and related modules

D Zhang, B Ouyang - Journal of Algebra and Its Applications, 2011 - World Scientific
… If MR is a finitely generated projective R op -module, then the … finite projective resolution and
I is an injective S-module, then … , Relative projective modules and relative injective modules, …

Gorenstein projective dimension relative to a semidualizing bimodule

Z Liu, Z Huang, A Xu - Communications in Algebra, 2013 - Taylor & Francis
… G-dimension for finitely generated modules over Noetherian … Gorenstein projective modules
and the C-Gorenstein projective … C -projective modules and the G C -projective dimension of …

Reflexive modules with finite Gorenstein dimension with respect to a semidualizing module

E Tavasoli, M Salimi, S Yassemi - Proceedings-Mathematical Sciences, 2015 - Springer
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 …

[PDF][PDF] Homological invariants related to semidualizing bimodules

X Tang, Z Huang - Colloquium Mathematicum, 2019 - researchgate.net
projective modules. If we put RCS = RRR, then C-Gorenstein projective modules and C-Gorenstein
flat modules … every finitely generated module can be embedded into a module with C-…

Gorenstein injective and projective complexes with respect to a semidualizing module

C Yang, L Liang - Communications in Algebra, 2012 - Taylor & Francis
… the notion of semidualizing modules over a commutative (… and investigated some properties
of G C -projective modules. … P i finitely generated projective (resp., free) R-modules. One …

Finitistic dimension and orthogonal classes of Gorenstein projective modules with respect to a semidualizing module

E Tavasoli - Communications in Algebra, 2019 - Taylor & Francis
… A finitely generated R-module C is called semidualizing if the natural homothety … the
relative setting of this equality. For a semidualizing R-module C, we define the finitistic projective