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 …

RSS equivalences over a class of Morita rings

N Gao, J Ma, XY Liu - Journal of Algebra, 2021 - Elsevier
For two bimodules NBA and MAB with M⊗ AN= 0= N⊗ BM, the monomorphism category M
(A, M, N, B) and its dual, the epimorphism E (A, M, N, B), are introduced and studied. By …

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 …

[HTML][HTML] Gorenstein projective bimodules via monomorphism categories and filtration categories

W Hu, XH Luo, BL Xiong, G Zhou - Journal of Pure and Applied Algebra, 2019 - Elsevier
We generalize the monomorphism category from quiver (with monomial relations) to
arbitrary finite dimensional algebras by a homological definition. Given two finite dimension …

Pure projective modules and FP-injective modules over Morita rings

M Yan, H Yao - Frontiers of Mathematics in China, 2020 - Springer
Abstract Let Λ _ (0, 0)=\left (A\;\;\;\;\;\;\; _A N_B _B M_A\;\;\;\; B\cr\right) Λ (0 0)=(AANBBMAB)
be a Morita ring, where the bimodule homomorphisms ϕ and ψ are zero. We study the finite …

Ladders of recollements of abelian categories

N Gao, S Koenig, C Psaroudakis - Journal of Algebra, 2021 - Elsevier
Ladders of recollements of abelian categories are introduced, and used to address three
general problems. Ladders of a certain height allow to construct recollements of triangulated …

Ding projective modules over Morita context rings

D Asefa - Communications in Algebra, 2024 - Taylor & Francis
Full article: Ding projective modules over Morita context rings Skip to Main Content Taylor
and Francis Online homepage Browse Search Publish Login | Register Log in or Register …

Igusa-Todorov and LIT algebras on Morita context algebras

M Barrios, G Mata - Journal of Algebra, 2024 - Elsevier
In this article, we prove that, under certain conditions, Morita context algebras that arise from
Igusa-Todorov (LIT) algebras and have zero bimodule morphisms are also Igusa-Todorov …

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 …

Cotorsion pairs and model structures on Morita rings

P Zhang, J Cui, S Rong - arXiv preprint arXiv:2208.05684, 2022 - arxiv.org
This paper is to study cotorsion pairs and abelian model structures on some Morita
rings\$\Lambda=\left (\begin {smallmatrix} A & {} _AN_B {} _BM_A & B\end …