[HTML][HTML] Gorenstein flat modules and dimensions over formal triangular matrix rings
L Mao - Journal of Pure and Applied Algebra, 2020 - Elsevier
Abstract Let T=(A 0 UB) be a formal triangular matrix ring, where A and B are rings and U is
a (B, A)-bimodule. We prove that, if T is a right coherent ring, UB has finite flat dimension, UA …
a (B, A)-bimodule. We prove that, if T is a right coherent ring, UB has finite flat dimension, UA …
Ding modules and dimensions over formal triangular matrix rings
L Mao - arXiv preprint arXiv:1912.06968, 2019 - arxiv.org
Let $ T=\biggl (\begin {matrix} A&0\\U&B\end {matrix}\biggr) $ be a formal triangular matrix
ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. We prove that:(1) If …
ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. We prove that:(1) If …
Recollements associated to cotorsion pairs over upper triangular matrix rings
R Zhu, Y Peng, N Ding - arXiv preprint arXiv:1911.02478, 2019 - arxiv.org
Let $ A $, $ B $ be two rings and $ T=\left (\begin {smallmatrix} A & M 0 & B\end
{smallmatrix}\right) $ with $ M $ an $ A $-$ B $-bimodule. Given two complete hereditary …
{smallmatrix}\right) $ with $ M $ an $ A $-$ B $-bimodule. Given two complete hereditary …
Gorenstein flat-cotorsion modules over formal triangular matrix rings
D Wu - 대한수학회보, 2021 - kiss.kstudy.com
Let $ A $ and $ B $ be rings and $ U $ be a $(B, A) $-bimodule. If $ _BU $ has finite flat
dimension, $ U_A $ has finite flat dimension and $\tpa {U}{C} $ is a cotorsion left $ B …
dimension, $ U_A $ has finite flat dimension and $\tpa {U}{C} $ is a cotorsion left $ B …
Relative Gorenstein dimensions over triangular matrix rings
Let A and B be rings, U a (B, A)-bimodule, and T= A 0 UB the triangular matrix ring. In this
paper, several notions in relative Gorenstein algebra over a triangular matrix ring are …
paper, several notions in relative Gorenstein algebra over a triangular matrix ring are …
Strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings
L Mao - Bulletin mathématique de la Société des Sciences …, 2020 - JSTOR
1 Introduction Page 1 Bull. Math. Soc. Sci. Math. Roumanie Tome 63 (111), No. 3, 2020, 271–285
Strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings by …
Strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings by …
三角矩阵环上的(n, d)-内射模
D Ang-mao, LU Bo - 《 山东大学学报(理学版)》, 2023 - lxbwk.njournal.sdu.edu.cn
设A, B 是环, U 是(B, A)-双模, n, d 为非负整数, T=(A 0U B) 是形式三角矩阵环, 首先,
证明了M=(M 1 M 2) φ M 是n-表现左T-模当且仅当M 1 是n-表现左A-模, Coker φ M 是n-表现左B …
证明了M=(M 1 M 2) φ M 是n-表现左T-模当且仅当M 1 是n-表现左A-模, Coker φ M 是n-表现左B …
Gorenstein and duality pair over triangular matrix rings
H Liu, R Zhu - arXiv preprint arXiv:2202.13148, 2022 - arxiv.org
Let $ A $, $ B $ be two rings and $ T=\left (\begin {smallmatrix} A & M\\0 & B\\\end
{smallmatrix}\right) $ with $ M $ an $ A $-$ B $-bimodule. We first construct a semi-complete …
{smallmatrix}\right) $ with $ M $ an $ A $-$ B $-bimodule. We first construct a semi-complete …
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 …
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 …
顿范畴中的强Gorenstein 投射对象
陈美卉， 梁力 - 《 山东大学学报(理学版)》, 2021 - lxbwk.njournal.sdu.edu.cn
顿范畴中的强Gorenstein投射对象 Page 1 山东大学学报(理学版)2021年8月第56卷第8期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.56ꎬ No.8ꎬ 2021 http:/ / lxbwk.njournal.sdu.edu.cn …
Journal of Shandong University (Natural Science)ꎬ Vol.56ꎬ No.8ꎬ 2021 http:/ / lxbwk.njournal.sdu.edu.cn …