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 …

[引用][C] Strongly Gorenstein-injective modules over Morita rings

D Asefa - Journal of Algebra and Its Applications, 2023 - World Scientific
In this paper, we consider Morita rings with zero bimodule homomorphisms. We establish
necessary and sufficient conditions for all strongly complete injective resolutions over a …

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
Full article: Gorenstein projective modules via total complexes Skip to Main Content Taylor and
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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] 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 …

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 …

Gorenstein flat covers of modules over Gorenstein rings

E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …