Gorenstein flat modules over some Morita context rings

L Mao - Journal of Algebra and Its Applications, 2024 - World Scientific
Gorenstein flat modules over some Morita context rings Page 1 2 January 13, 2023 15:53
WSPC/S0219-4988 171-JAA 2450096 Journal of Algebra and Its Applications (2024) 2450096 …

Gorenstein projective, injective and flat modules over trivial ring extensions

L Mao - arXiv preprint arXiv:2305.15656, 2023 - arxiv.org
We introduce the concepts of generalized compatible and cocompatible bimodules in order
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …

Gorenstein‐Projective Modules over a Class of Morita Rings

D Asefa - Journal of Mathematics, 2022 - Wiley Online Library
Let Δ 0, 0= AANBBMAB be a Morita ring such that the bimodule homomorphisms are zero. In
this paper, we give sufficient conditions for a Δ (0, 0)‐module (X, Y, f, g) to be Gorenstein …

Gorenstein projective modules via total complexes

Q Guo - Communications in Algebra, 2023 - Taylor & Francis
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Strongly Gorenstein-projective modules over rings of Morita contexts

D Asefa - Beiträge zur Algebra und Geometrie/Contributions to …, 2024 - Springer
Abstract Let Δ (0, 0)= AANBBMAB be a Morita ring such that the bimodule homomorphisms
are zero. In this paper, we give sufficient conditions for a Δ (0, 0)-module (X, Y, f, g) to be …

Ding projective modules over Morita context rings

D Asefa - Communications in Algebra, 2024 - Taylor & Francis
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[引用][C] Gorenstein flat-cotorsion modules over trivial ring extensions

Z Wang, J He, Y Jin - Journal of Algebra and its Applications, 2024 - World Scientific
Let RM be a trivial extension of a ring R by an RR-bimodule M. Sufficient and necessary
conditions are established for Gorenstein flat-cotorsion modules over R M. More precisely, it …

[引用][C] Frobenius pairs arising from Morita rings

L Liang, Y Ma, G Yang - Journal of Algebra and Its Applications, 2024 - World Scientific
This paper is to study how to construct Frobenius pairs over a Morita ring Λ= AANBBMAB.
Given Frobenius pairs (X, W) and (Y, V) in AM od and BM od, respectively, we construct …

Gorenstein-projective modules over Morita rings

D Asefa - Algebra Colloquium, 2021 - World Scientific
Let Δ (φ, ψ)=(AANBBMAB) be a Morita ring which is an Artin algebra. In this paper we
investigate the relations between the Gorenstein-projective modules over a Morita ring Δ (φ …

[引用][C] A note on Gorenstein projective and Gorenstein flat modules

X Wang - Journal of Algebra and Its Applications, 2023 - World Scientific
We prove that all Gorenstein projective modules are Gorenstein flat if and only each
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …