Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollements
Yongduo Wang, Hongyang Luo, Yu-Zhe Liu, Jian He, Dejun Wu
公開日: 2024/9/11
Abstract
In this article, we prove that if (A, B, C) is a recollement of abelian categories, then Wakamatsu tilting (resp. weak support tau-tilting) subcategories in A and C can induce Wakamatsu tilting (resp. weak support tau-tilting) subcategories in B, and the converses hold under natural assumptions. As an application, we mainly consider the relationship of tau-cotorsion torsion triples in (A, B, C).