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arXiv · 1809.11043

Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories

Amit Shah
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Abstract

We generalise some of the theory developed for abelian categories in papers of Auslander and Reiten to semi-abelian and quasi-abelian categories. In addition, we generalise some Auslander-Reiten theory results of S. Liu for Krull-Schmidt categories by removing the Hom-finite and indecomposability restrictions. Finally, we give equivalent characterisations of Auslander-Reiten sequences in a quasi-abelian, Krull-Schmidt category.

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Amit Shah. 2018-09-28. Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories. https://doi.org/10.1016/j.jpaa.2019.04.017

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