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arXiv · 1907.10025

Torsion pairs and quasi-abelian categories

Aran Tattar
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Abstract

We define torsion pairs for quasi-abelian categories and give several characterisations. We show that many of the torsion theoretic concepts translate from abelian categories to quasi-abelian categories. As an application, we generalise the recently defined algebraic Harder-Narasimhan filtrations to quasi-abelian categories.

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Aran Tattar. 2019-07-23. Torsion pairs and quasi-abelian categories. https://doi.org/10.1007/s10468-020-10004-y

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