We contribute to the theory of G-dimension relative to a semidualizing module C, in
connection to the properties of a module being totally C-reflexive, Ck-torsionless, and Ck …

For finite modules over a local ring and complexes with finitely generated homology, we
consider several homological invariants sharing some basic properties with projective …

Let C be a semidualizing module for a commutative ring R. In this paper, we study the
resulting modules of finite GC-projective dimension in Bass class, showing that they admit …

Let R be a semiperfect commutative Noetherian ring with identity and C, S be semidualizing
R-modules. We study the theory of linkage with respect to S for modules of finite GC …

Let S and R be two associative rings, SCR be a faithfully balanced (S, R)-bimodule. We
introduce and investigate properties of∞-torsionfree modules with respect to SCR, which …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is shown
that a finitely generated R-module M with finite GC-dimension is C-reflexive if and only if M 𝔭 …

Let S and R be rings and SCR a semidualizing bimodule. We investigate the relation
between the GC-syzygy with the C-syzygy of a module as well as the relation between the …

In this paper we mainly study the properties of dual modules over k-Gorenstein rings. For a k-
Gorenstein ring Λ we show that the right self-injective dimension is less than or equal to k if …

Given a semidualizing module C over a commutative Noetherian ring, Holm and Jørgensen
[Semi-dualizing modules and related Gorenstein homological dimensions, J. Pure Appl …

We study Tate cohomology of modules over a commutative Noetherian ring with respect to
semidualizing modules. First, we show that the class of modules admitting a Tate F_C …