Torsion Pairs and Quasi-abelian Categories

被引：0

作者：

Aran Tattar

机构：

[1] University of Leicester,School of Mathematics

来源：

Algebras and Representation Theory | 2021年 / 24卷

关键词：

Quasi-abelian category; Torsion class; Torsion pair; Harder-Narasimhan filtration; 18E05; 18E10; 19E40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1557 / 1581

页数：24

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[21]

Janelidze G(2011)Maximal exact structures on additive categories Mathematische Nachrichten 284 2093-2909

[22]

Tholen W(2017)The heart of the banach spaces Journal of Pure and Applied Algebra 221 2880-undefined

[23]

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