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 …

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 …

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 …

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 …

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 …

Let R be a Cohen–Macaulay local ring. It is shown that under some mild conditions, the
Cohen–Macaulay property is preserved under linkage. We also study the connection of the …

Linkage of ideals is a very well-studied topic in algebra. It has lead to the development of
module linkage which looks to extend the ideas and results of the former. Although linkage …

In this paper, we introduce and study the notion of linkage of modules by reflexive
homomorphisms. This notion unifies and generalizes several known concepts of linkage of …

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 …