Cut notions in extriangulated categories related to Auslander-Buchweitz theory and cotorsion theory
In this work we introduce notions in Auslander-Buchweitz theory and cotorsion theory in
extriangulated categories which extend the given ones for abelian categories. Although …
extriangulated categories which extend the given ones for abelian categories. Although …
Relative tilting theory in abelian categories I: Auslander-Buchweitz-Reiten approximations theory in subcategories and cotorsion pairs
AA Monroy, OM Hernández - arXiv preprint arXiv:2104.11361, 2021 - arxiv.org
In this paper we introduce a special kind of relative (co) resolutions associated to a pair of
classes of objects in an abelian category $\mathcal {C}. $ We will see that, by studying these …
classes of objects in an abelian category $\mathcal {C}. $ We will see that, by studying these …
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 …
Given Frobenius pairs (X, W) and (Y, V) in AM od and BM od, respectively, we construct …
Relative tilting theory in abelian categories I: Auslander–Buchweitz–Reiten approximations theory in subcategories and cotorsion-like pairs
A Argudín-Monroy, O Mendoza Hernández - Boletín de la Sociedad …, 2024 - Springer
In this paper, we introduce a special kind of relative (co) resolutions associated with a pair of
classes of objects in an abelian category C. We will see that, by studying this relative (co) …
classes of objects in an abelian category C. We will see that, by studying this relative (co) …