摘要
For a recollement （A,B,C） of abelian categories, we show that torsion pairs in A and C can induce torsion pairs in B; and the converse holds true under certain conditions.
For a recollement （A,B,C） of abelian categories, we show that torsion pairs in A and C can induce torsion pairs in B; and the converse holds true under certain conditions.
基金
The authors thank Daniel Juteau for sending us paper [13], and thank Teimuraz Pirashvili and the referees for the useful suggestions. This work was partially supported by the National Natural Science Foundation of China （Grant No. 11571164）, a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, Postgraduate Research and Practice Innovation Program of Jiangsu Province （Grant No. KYCX17_0019）.
