Torsion pairs and recollements of extriangulated categories
arXiv:2104.04924
Abstract
In this article, we prove that if is a recollement of extriangulated categories, then torsion pairs in and can induce torsion pairs in , and the converse holds under natural assumptions. Besides, we give mild conditions on a cluster tilting subcategory on the middle category of a recollement of extriangulated categories, for the corresponding abelian quotients to form a recollement of abelian categories.
19 pages