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Torsion pairs and recollements of extriangulated categories

By Jian He and others
In this article, we prove that if (A,B,C)(\mathcal A ,\mathcal B,\mathcal C) is a recollement of extriangulated categories, then torsion pairs in A\mathcal A and C\mathcal C can induce torsion pairs in B\mathcal B, and the converse holds under natural assumptions. Besides, we give mild conditions on a cluster tilting... Show more
April 11, 2021
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Torsion pairs and recollements of extriangulated categories
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