Trace ideals of semidualizing modules and two generalizations of nearly Gorenstein rings
M Bagherpoor, A Taherizadeh - Communications in Algebra, 2023 - Taylor & Francis
In this article, we study the trace ideal of semidualizing modules. Also, we introduce two new
classes of rings, namely quasi nearly Gorenstein and weakly nearly Gorenstein, which are …
classes of rings, namely quasi nearly Gorenstein and weakly nearly Gorenstein, which are …
Auslander-Reiten Conjecture, Finite -Injective Dimension of , and vanishing of
VD Mendoza-Rubio, VH Jorge-Pérez - arXiv preprint arXiv:2312.05914, 2023 - arxiv.org
Let $ R $ be a Noetherian local ring, and let $ C $ be a semidualizing $ R $-module. In this
paper, we present some results concerning to vanishing of $\operatorname {Ext} $ and finite …
paper, we present some results concerning to vanishing of $\operatorname {Ext} $ and finite …
[PDF][PDF] On the Canonical-dual of modules
Let (R, m) be a commutative Noetherian local ring and M be a finitely generated R-module
with the canonical module Kd (M). We give a result on the indecomposability of Kd (M) and …
with the canonical module Kd (M). We give a result on the indecomposability of Kd (M) and …