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 …

Recollements and n-cluster tilting subcategories

T Long, X Zhang, Y Zhou - Communications in Algebra, 2024 - Taylor & Francis
In this paper, we study the relationship among three n-cluster tilting subcategories of
triangulated categories in a recollement. Let (D′, D, D ″) be a recollement of triangulated …

Relative Tilting Classes in Extriangulated Categories

D Wang, Y Yu, T Zhao - Bulletin of the Malaysian Mathematical Sciences …, 2024 - Springer
In this paper, we study the relative tilting theory in extriangulated categories. We introduce
the notion of relative tilting classes in an extriangulated category and then give some …