Special precovering classes in comma categories

J Hu, H Zhu - Science China Mathematics, 2022 - Springer
Let T be a right exact functor from an abelian category ℬ into another abelian category A.
Then there exists a functor p from the product category A× ℬ to the comma category ((T↓ …

How to construct Gorenstein projective modules relative to complete duality pairs over Morita rings

Y Ma, J Lü, H Li, J Hu - Journal of Algebra and Its Applications, 2023 - World Scientific
Let Δ= AANBBMAB be a Morita ring with M⊗ AN= 0= N⊗ BM. We first study how to construct
(complete) duality pairs of Δ-modules using (complete) duality pairs of A-modules and B …

三角矩阵环上的GorensteinAC-投射模.

牟婷, 王淼, 王占平 - … Daxue Xuebao (Lixue Ban)/Journal of …, 2021 - search.ebscohost.com
收稿日期: 2021-03-01. 第一作者简介: 牟婷(1994—), 女, 汉族, 硕士研究生,
从事同调理论的研究, E-mail: 2194847113@ qq. com. 通信作者简介: 王占平(1978—), 女 …

Recollements induced by monomorphism categories

Z Wang, Z Liu - Journal of Algebra, 2022 - Elsevier
Let R be any associative ring, na positive integer and X a full subcategory of the category of
R-modules. The monomorphism category S n (X) of X consists of all the objects (X i, φ i) …

Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras

Y Zhang, Y Ma, T Zhao - Georgian Mathematical Journal, 2023 - degruyter.com
Let A and B be Artin algebras and let M be an (A, B)-bimodule with MA and MB finitely
generated. In this paper, we construct tilting pairs of subcategories and Wakamatsu tilting …

Triangle equivalences of Gorenstein defect categories induced by homological epimorphisms

Y Zhang, YZ Liu, Y Ma - Communications in Algebra, 2024 - Taylor & Francis
Full article: Triangle equivalences of Gorenstein defect categories induced by homological
epimorphisms Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Recollements from Ding Injective Modules

M Wang, Z Wang, P Yang - Bulletin of the Malaysian Mathematical …, 2021 - Springer
Let A and B be rings, U a (B, A)-bimodule and T= A& 0\U& BT= A 0 UB a triangular matrix
ring. In this paper, we firstly construct a right recollement of stable categories of Ding …

2-recollements of singualrity categories and Gorenstein defect categories over triangular matrix algebras

H Li, D Yang, Y Zheng, J Hu - arXiv preprint arXiv:2008.12178, 2020 - arxiv.org
Let $ T=(A, M, 0, B) $ be a triangular matrix algebra with its corner algebras $ A $ and $ B $
Artinian and $ _AM_B $ an $ A $-$ B $-bimodule. The 2-recollement structures for …

形式三角矩阵环上的Gorenstein AC-投射维数

李帮禹, 杨晓燕 - Pure Mathematics, 2022 - hanspub.org
本文研究了形式三角矩阵环上Gorenstein AC-投射维数的问题. 令为一个形式三角矩阵环, 其中A
和B 为环, U 为一个(B, A)-双模, 为左T-模. 我们利用左A-模M 1 和左B-模M 2 的Gorenstein AC …

阿贝尔范畴黏合上的纯投射维数

闫美琪, 姚海楼 - 《 山东大学学报(理学版)》, 2021 - lxbwk.njournal.sdu.edu.cn
在阿贝尔范畴中引入了纯投射维数的概念ꎮ 令Rab (AꎬBꎬC) 为阿贝尔范畴黏合ꎬ
讨论了三个阿贝尔范畴之间的纯投射对象和纯投射维数的关系ꎮ 作为应用ꎬ …