Torsion Pairs in Recollements of Abelian Categories
classification
🧮 math.RT
math.CT
keywords
mathcalpairstorsionabeliancategoriescertainconditionsconverse
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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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