Recollements of extriangulated categories
L Wang, J Wei, H Zhang - arXiv preprint arXiv:2012.03258, 2020 - arxiv.org
We give a simultaneous generalization of recollements of abelian categories and
triangulated categories, which we call recollements of extriangulated categories. For a …
triangulated categories, which we call recollements of extriangulated categories. For a …
The Extension Dimension of Subcategories and Recollements of Abelian Categories
X Ma, YY Peng, ZY Huang - Acta Mathematica Sinica, English Series, 2024 - Springer
We investigate the behavior of the extension dimension of subcategories of abelian
categories under recollements. Let Λ′, Λ, Λ ″be artin algebras such that (mod Λ′, mod Λ …
categories under recollements. Let Λ′, Λ, Λ ″be artin algebras such that (mod Λ′, mod Λ …
Resolving subcategories and dimensions in recollements of extriangulated categories
X Ma, T Zhao, X Zhuang - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
Abstract Recently, Wang, Wei and Zhang introduced the notion of recollements of
extriangulated categories. In this paper, let (A, B, C) be a recollement of extriangulated …
extriangulated categories. In this paper, let (A, B, C) be a recollement of extriangulated …
Recollements and -cotorsion pairs
W Cao, J Wei, K Wu - arXiv preprint arXiv:2403.04220, 2024 - arxiv.org
In the present paper, we study the relationships of $ n $-cotorsion pairs among three abelian
categories in a recollement. Under certain conditions, we present an explicit construction of …
categories in a recollement. Under certain conditions, we present an explicit construction of …
Recollements and tilting modules
X Ma, T Zhao - Communications in Algebra, 2020 - Taylor & Francis
Let (mod Λ′, mod Λ, mod Λ ″) be a recollement of module categories for artin algebras
Λ′, Λ and Λ ″. We provide a sufficient condition such that a glued torsion pair in mod Λ is …
Λ′, Λ and Λ ″. We provide a sufficient condition such that a glued torsion pair in mod Λ is …