Homological aspects of the dual Auslander transpose

X Tang, Z Huang - Forum Mathematicum, 2015 - degruyter.com
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 …

Reflexive modules with finite Gorenstein dimension with respect to a semidualizing module

E Tavasoli, M Salimi, S Yassemi - Proceedings-Mathematical Sciences, 2015 - Springer
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 …

On the theory and applications of -dimension with respect to a semidualizing module

CB Miranda-Neto, TS Souza - Journal of Algebra and Its …, 2023 - World Scientific
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 …

关于C-无挠模和C-自反模的若干同调性质

罗肖强, 谭玲玲, 邢建民 - 《 山东大学学报(理学版)》, 2019 - lxbwk.njournal.sdu.edu.cn
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 …

Módulos Totalmente Reflexivos e Dimensão de Gorenstein

TS Souza - 2016 - repositorio.ufpb.br
Nesta disserta» c~ ao, estudamos os chamados m¶ odulos totalmente reexivos e a no» c~
ao de dimens~ ao de Gorenstein sobre an¶ eis comutativos Noetherianos. A principal …

On the theory of Gorenstein dimension with respect to a semidualizing module

TS Souza - 2019 - repositorio.ufpb.br
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 …