As a dual of the Auslander transpose of modules, we introduce and study the cotranspose of
modules with respect to a semidualizing module C. Then using it we introduce nC …

Let R and S be rings and RCS a semidualizing bimodule. We show that the supremum of the
C-projective dimensions of C-flat left R-modules is less than or equal to that for left R …

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 …

Abstract Let T=(R 0 CS) be a formal triangular matrix ring with C a semidualizing (S, R)-
bimodule. It is proven that (1) A left S-module M in Bass class is C-torsionless (resp. C …

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 …

研究了关于半对偶化模的无挠和自反模的相对概念和同调性质ꎮ 证明了当C 是1-对偶化模时ꎬ
投射模的子模是完全C-自反模ꎬ 并且刻画了有有限GC-维数的C-无挠和C-自反模类ꎮ …

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 …

Let R be a left noetherian ring and S a right noetherian ring, and let X be a subcategory of
finitely generated left R-modules and BSR a finite (R, S)-bimodule. As a generalization of the …