One-sided Gorenstein rings
LW Christensen, S Estrada, L Liang… - Forum …, 2024 - degruyter.com
Abstract Distinctive characteristics of Iwanaga–Gorenstein rings are typically understood
through their intrinsic symmetry. We show that several of those that pertain to the Gorenstein …
through their intrinsic symmetry. We show that several of those that pertain to the Gorenstein …
On Gorenstein global and Gorenstein weak global dimensions
J Wang, G Yang, Q Shao, X Zhang - Colloquium Mathematicum, 2023 - impan.pl
It is well-known that the weak global dimension of a ring does not exceed its global
dimension. Christensen et al. obtained a corresponding result in Gorenstein setting for …
dimension. Christensen et al. obtained a corresponding result in Gorenstein setting for …
Strongly Gorenstein flat modules and dimensions
N Mahdou, M Tamekkante - Chinese Annals of Mathematics, Series B, 2011 - Springer
There is a variety of nice results about strongly Gorenstein flat modules over coherent rings.
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …
Weak-injectivity and almost perfect domains
L Fuchs, SB Lee - Journal of Algebra, 2009 - Elsevier
Our main purpose is to characterize the class of almost perfect domains (introduced by
Bazzoni and Salce [S. Bazzoni, L. Salce, Almost perfect domains, Colloq. Math. 95 (2003) …
Bazzoni and Salce [S. Bazzoni, L. Salce, Almost perfect domains, Colloq. Math. 95 (2003) …
Relative global dimensions and stable homotopy categories
L Liang, J Wang - Comptes Rendus …, 2020 - comptes-rendus.academie-sciences …
In this paper we study the finiteness of global Gorenstein AC-homological dimensions for
rings, and answer the questions posed by Becerril, Mendoza, Pérez and Santiago. As an …
rings, and answer the questions posed by Becerril, Mendoza, Pérez and Santiago. As an …
The functor Hom and cotorsion theories
L Fuchs, SB Lee - Communications in Algebra, 2009 - Taylor & Francis
Assume that (𝒜, ℬ) as well as (𝒞, 𝒟) form cotorsion theories of R-modules where R is an
integral domain. For R-modules A, B consider the R-module H= Hom R (A, B). Our main …
integral domain. For R-modules A, B consider the R-module H= Hom R (A, B). Our main …
[HTML][HTML] A model structure approach to the Tate–Vogel cohomology
J Hu, N Ding - Journal of Pure and Applied Algebra, 2016 - Elsevier
Abstract We study Tate–Vogel cohomology of complexes by applying the model structure
induced by a complete hereditary cotorsion pair (A, B) of modules. Vanishing of Tate–Vogel …
induced by a complete hereditary cotorsion pair (A, B) of modules. Vanishing of Tate–Vogel …
Dimensions and cotorsion pairs in recollements of extriangulated categories
X Ma, P Zhou - arXiv preprint arXiv:2310.11172, 2023 - arxiv.org
Let $(\mathcal A,\mathcal B,\mathcal C) $ be a recollement of extriangulated categories. In
this paper, we provide bounds on the coresolution dimensions of the subcategories involved …
this paper, we provide bounds on the coresolution dimensions of the subcategories involved …
The Recollements of Abelian Categories: Cotorsion Dimensions and Cotorsion Triples
X Fu, Y Hu - Bulletin of the Iranian Mathematical Society, 2022 - Springer
In this paper, we study the cotorsion dimensions and cotorsion triples in the recollements of
abelian categories. The main results are that recollements induce new (resp. complete …
abelian categories. The main results are that recollements induce new (resp. complete …
模和环的(m, n)-余挠维数
王亚丽， 赵仁育 - 《 山东大学学报(理学版)》, 2022 - lxbwk.njournal.sdu.edu.cn
模和环的(mꎬn)-余挠维数 Page 1 山东大学学报(理学版)2022年6月第57卷第6期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University(Natural Science)ꎬ Vol.57ꎬ No.6ꎬ 2022 http:/ / lxbwk.njournal.sdu.edu.cn …
Journal of Shandong University(Natural Science)ꎬ Vol.57ꎬ No.6ꎬ 2022 http:/ / lxbwk.njournal.sdu.edu.cn …