Recollements of stable categories of Gorenstein injective modules

Z Wang, T Mu, X Wang - Journal of Algebra and Its Applications, 2021 - World Scientific
Let A and B be rings, U a (B, A)-bimodule and T= A 0 UB be a triangular matrix ring. We first
give an explicit description for Gorenstein injective T-modules over the triangular matrix ring …

Recollements induced by Frobenius pairs

Y Ma, J Hu, R Zhu - arXiv preprint arXiv:2109.00933, 2021 - arxiv.org
Let $ T $ be a right exact functor from an abelian category $\mathscr {B} $ into another
abelian category $\mathscr {A} $. Then there exists an abelian category, named comma …

[HTML][HTML] Relative Ding Projective Modules over Formal Triangular Matrix Rings

H Fan, X Tang - Journal of Applied Mathematics and Physics, 2023 - scirp.org
Let U be a (B, A)-bimodule, A and B be rings, and be a formal triangular matrix ring. In this
paper, we characterize the structure of relative Ding projective modules over T under some …

Gorenstein AC-Projective and AC-Injective Modules over Formal Triangular Matrix Rings

D Wu, H Zhou - Algebra Colloquium, 2022 - World Scientific
Let A and B be rings and U a (B, A)-bimodule. If BU is flat and UA is finitely generated
projective (resp., BU is finitely generated projective and UA is flat), then the characterizations …

Gorenstein flat-cotorsion modules over formal triangular matrix rings

D Wu - 2021 - ir.lut.edu.cn
摘要 Let A and B be rings and U be a (B, A)-bimodule. If UB has finite flat dimension, UA has
finite flat dimension and U circle times (A) C is a cotorsion left B-module for any cotorsion left …

Frobenius categories over a triangular matrix ring and comma categories

D Lu, P Xie - Communications in Algebra, 2022 - Taylor & Francis
We introduce the dual notions of E (X, M, Y) and M (X, M, Y), and investigate when they have
enough injective objects or projective objects, when they are resolving or co-resolving, and …

Admissible balanced pairs over formal triangular matrix rings

L Mao - Bulletin of the Korean Mathematical Society, 2021 - bkms.kms.or.kr
Suppose that $ T=\left (\begin {smallmatrix} A&0\\U&B\end {smallmatrix}\right) $ is a formal
triangular matrix ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. Let …

[引用][C] Strongly Gorenstein-Injective Modules over Morita Rings

D Asefa - Journal of Algebra and its Applications, 2023 - World Scientific
Strongly Gorenstein-Injective Modules over Morita Rings Page 1 Accepted manuscript to
appear in JAA Accepted Manuscript Journal of Algebra and its Applications Article Title …