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 …
investigate the relations between the Gorenstein-projective modules over a Morita ring Δ (φ …
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 …
this paper, we give sufficient conditions for a Δ (0, 0)‐module (X, Y, f, g) to be Gorenstein …
On Artin algebras arising from Morita contexts
EL Green, C Psaroudakis - Algebras and Representation Theory, 2014 - Springer
We study Morita rings Λ (ϕ, ψ)= AANBBMAB Λ_(ϕ,ψ)=\left(A&_AN_B\_BM_A&B) in the
context of Artin algebras from various perspectives. First we study covariantly finite …
context of Artin algebras from various perspectives. First we study covariantly finite …
Construction of Gorenstein-projective modules over Morita rings
D Asefa - Journal of Algebra and Its Applications, 2023 - World Scientific
In this paper, we obtain necessary and sufficient conditions for all complete projective
resolutions over a Morita ring Δ (0, 0)(A, B, M, N)= AANBBMAB. As special cases, we get a …
resolutions over a Morita ring Δ (0, 0)(A, B, M, N)= AANBBMAB. As special cases, we get a …
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 …
are zero. In this paper, we give sufficient conditions for a Δ (0, 0)-module (X, Y, f, g) to be …
Gorenstein-projective and semi-Gorenstein-projective modules
CM Ringel, P Zhang - Algebra & Number Theory, 2020 - msp.org
Let A be an artin algebra. An A-module M will be said to be semi-Gorenstein-projective
provided that Ext i (M, A)= 0 for all i≥ 1. All Gorenstein-projective modules are semi …
provided that Ext i (M, A)= 0 for all i≥ 1. All Gorenstein-projective modules are semi …
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 …
WSPC/S0219-4988 171-JAA 2450096 Journal of Algebra and Its Applications (2024) 2450096 …
A construction of Gorenstein-projective modules
ZW Li, P Zhang - Journal of Algebra, 2010 - Elsevier
We determine all the Gorenstein-projective modules over the T2-extension of a Gorenstein
algebra, and over (AM0B), where A and B are self-injective algebras, and M is an AB …
algebra, and over (AM0B), where A and B are self-injective algebras, and M is an AB …
On Modules M such that both M and M∗ are Semi-Gorenstein-Projective
CM Ringel, P Zhang - Algebras and Representation Theory, 2021 - Springer
Let A be an artin algebra. An A-module M is semi-Gorenstein-projective provided that Ext i
(M, A)= 0 for all i≥ 1. If M is Gorenstein-projective, then both M and its A-dual M∗ are semi …
(M, A)= 0 for all i≥ 1. If M is Gorenstein-projective, then both M and its A-dual M∗ are semi …
Gorenstein homological aspects of monomorphism categories via Morita rings
N Gao, C Psaroudakis - Algebras and Representation Theory, 2017 - Springer
In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …
bimodule homomorphisms and we provide sufficient conditions for such rings to be …