All Gorenstein hereditary rings are coherent
Z Gao, F Wang - Journal of Algebra and Its Applications, 2014 - World Scientific
A ring R is called Gorenstein hereditary (G-hereditary) if every submodule of a projective
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …
A characterization of Gorenstein projective modules
J Wang, L Liang - Communications in Algebra, 2016 - Taylor & Francis
In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …
applications of our result, we prove that a strongly Gorenstein projective module of …
A Gorenstein analogue of a result of Bertin
L Qiao, F Wang - Journal of Algebra and Its Applications, 2015 - World Scientific
An integral domain R is called a Gorenstein Prüfer (G-Prüfer) domain if it is coherent and
every submodule of a flat R-module is Gorenstein flat. In this paper, we show that every n-FC …
every submodule of a flat R-module is Gorenstein flat. In this paper, we show that every n-FC …
Five theorems on Gorenstein global dimensions
LW Christensen, S Estrada, P Thompson - arXiv preprint arXiv:2203.12375, 2022 - arxiv.org
We expand on two existing characterizations of rings of Gorenstein (weak) global dimension
zero and give two new characterizations of rings of finite Gorenstein (weak) global …
zero and give two new characterizations of rings of finite Gorenstein (weak) global …
The Weak (Gorenstein) Global Dimension of Coherent Rings with Finite Small Finitistic Projective Dimension
K Alhazmy, FA Ahmed Almahdi… - Journal of …, 2024 - Wiley Online Library
The small finitistic dimension of a ring is determined as the supremum projective dimensions
among modules with finite projective resolutions. This paper seeks to establish that, for a …
among modules with finite projective resolutions. This paper seeks to establish that, for a …
The rings in which all super finitely presented modules are Gorenstein projective
S Xing, F Wang - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
Let R be a commutative ring. The Gorenstein super finitely presented dimension of R is
defined as Gs. gl.\dim (R)=\sup {Gpd _ RM\,|\, M Gs. gl. dim (R)= sup Gpd RM| M is a super …
defined as Gs. gl.\dim (R)=\sup {Gpd _ RM\,|\, M Gs. gl. dim (R)= sup Gpd RM| M is a super …
关于GI 平坦模和GF 挠模
王修建, 赵玉娥, 杜先能 - 中国科学技术大学学报, 2014 - just-cn.ustc.edu.cn
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Gorenstein FC-projective modules
Y Wang, D Zhou - Journal of Algebra and Its Applications, 2020 - World Scientific
In this paper, we investigate Gorenstein FC-projective modules and Gorenstein FC-
projective dimensions, and characterize rings over which every module is Gorenstein FC …
projective dimensions, and characterize rings over which every module is Gorenstein FC …
[PDF][PDF] Note on the DW rings
M Tamekkante, RAK Assaad… - … Electronic Journal of …, 2019 - dergipark.org.tr
In this paper we are mainly concerned with DW rings, ie, ringsin which every ideal is a w-
ideal. We give some new classes of DW rings and weshow how the concept of DW domains …
ideal. We give some new classes of DW rings and weshow how the concept of DW domains …
[PDF][PDF] Copure projective modules over FGV-domains and Gorenstein Pr\\\{u} fer domains
S Xing - 대한수학회보, 2023 - researchgate.net
In this paper, we prove that a domain R is an FGV-domain if every finitely generated torsion-
free R-module is strongly copure projective, and a coherent domain is an FGV-domain if and …
free R-module is strongly copure projective, and a coherent domain is an FGV-domain if and …