Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories
Shah, A. 
ORCID: 0000-0002-6623-8228 (2020).
Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories.
Journal of Pure and Applied Algebra, 224(1),
pp. 98-124.
doi: 10.1016/j.jpaa.2019.04.017
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.
| Publication Type: | Article |
|---|---|
| Additional Information: | © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Publisher Keywords: | Auslander-Reiten theory, Quasi-abelian category, Krull-Schmidt category, Irreducible morphism, Auslander-Reiten sequence, Cluster category |
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology School of Science & Technology > Department of Mathematics |
| SWORD Depositor: |
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Official URL: https://doi.org/10.1016/j.jpaa.2019.04.017
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