Cohen–Macaulay Noetherian algebras

A Bahlekeh, S Salarian, Z Toosi - Kyoto Journal of Mathematics, 2023 - projecteuclid.org
Let (R, m) be ad-dimensional commutative complete Noetherian local ring and Λ be a
Noetherian R-algebra. Motivated by the notion of Cohen–Macaulay Artin algebras of …

A note on Cartan-Eilenberg Gorenstein categories

B Lu, W Ren, Z Liu - Kodai Mathematical Journal, 2015 - jstage.jst.go.jp
A NOTE ON CARTAN-EILENBERG GORENSTEIN CATEGORIES Bo Lu*, Wei Ren and
Zhongkui Liu Abstract 1. Introduction A generalization of c Page 1 B. LU, W. REN AND Z. LIU …

Theory of linkage, Gorenstein dimension and two semidualizing modules

TS Souza - Journal of Algebra and Its Applications, 2023 - World Scientific
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 …

-projective dimensions, Foxby equivalence and -projective modules

L Zhao, Y Zhou - Journal of Algebra and Its Applications, 2016 - World Scientific
This is a study of Ding projective modules relative to a semidualizing module and related
topics. Firstly, we study DC-projective dimensions and DC-projective modules under change …

Gorenstein right derived functors of−⊗− with respect to semidualizing modules

J Hu, D Zhang, N Ding - Communications in Algebra, 2014 - Taylor & Francis
Full article: Gorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Characterizations of some rings with C-projective, C-(FP)-injective and C-flat modules

XG Yan, XS Zhu - Czechoslovak mathematical journal, 2011 - Springer
Let R be a commutative ring and C a semidualizing R-module. We investigate the relations
between C-flat modules and C-FP-injective modules and use these modules and their …

On reduced G-perfection and horizontal linkage relative to a semidualizing module

CB Miranda-Neto, TS Souza - arXiv preprint arXiv:2201.00847, 2022 - arxiv.org
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 …

A UNIFIED APPROACH TO VARIOUS GORENSTEIN MODULES

R Zhao, Y Li - Rocky Mountain Journal of Mathematics, 2022 - projecteuclid.org
Abstract Let 𝒱, 𝒲, 𝒴, 𝒳 be four classes of modules. We introduce a notion of (𝒱, 𝒲, 𝒴, 𝒳)-
Gorenstein modules which unifies a number of well-known Gorenstein modules. Under …

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 …

相对于半对偶化模的强Ding-投射模

赵良 - 数学季刊, 2018 - sxjk.magtechjournal.com
This paper is a study of strongly Ding projective modules with respect to a semidualizing
module. The class of strongly Ding flat modules with respect to a semidualizing module is …