In this paper we further develop the theory of linkage with respect to a semidualizing module
C introduced in 2018 by Dibaei and Sadeghi. It is shown that under certain conditions a …

In this paper, we contribute to the theory of reduced G-perfection and horizontal linkage of
modules over a commutative, Noetherian (typically, local) ring R, in the general setting …

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 …

In their investigation of horizontal linkage of modules of finite Gorenstein dimension over a
commutative, Noetherian, semiperfect (eg, local) ring, Dibaei and Sadeghi introduced the …

Abstract Let R→ S be a ring homomorphism. The relations of Gorenstein projective
dimension with respect to a semidualizing module of homologically bounded complexes …

This work studies the notions of k-torsionless modules and reduced G-perfect modules in a
more general setting, relative to a semidualizing module. We consider various aspects and …