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Torsion Pairs in Recollements of Abelian Categories
Published 13 Dec 2017 in math.RT and math.CT | (1712.04710v2)
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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