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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… Click to show full abstract
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.
Keywords:
reiten theory;
auslander reiten;
krull schmidt;
schmidt categories;
quasi abelian
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2018
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2018
Link to full text (if available)
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recommendations!