Torsion Pairs in Recollements of Abelian Categories

Xin Ma, Zhaoyong Huang

Published 2017-12-13Version 1

For a recollement $(\mathcal{A},\mathcal{B},\mathcal{C})$ of abelian categories, we show that torsion pairs in $\mathcal{A}$ and $\mathcal{C}$ can induce torsion pairs in $\mathcal{B}$; and the converse holds true under certain conditions.