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arXiv · 1712.04710

Torsion Pairs in Recollements of Abelian Categories

Xin Ma·Zhaoyong Huang
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Abstract

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.

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Xin Ma, Zhaoyong Huang. 2017-12-13. Torsion Pairs in Recollements of Abelian Categories. https://arxiv.org/abs/1712.04710

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