Cut notions in extriangulated categories related to Auslander-Buchweitz theory and cotorsion theory

M Huerta, O Mendoza, C Sáenz, V Santiago - arXiv preprint arXiv …, 2022 - arxiv.org
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 …

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 …

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) …

[引用][C] Frobenius Pairs Arising from Morita Rings

L Liang, Y Ma, G Yang - Journal of Algebra and its Applications, 2024 - World Scientific
Frobenius Pairs Arising from Morita Rings Page 1 Accepted manuscript to appear in JAA
Accepted Manuscript Journal of Algebra and its Applications Article Title: Frobenius Pairs …