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Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories. (arXiv:1809.11043v1 [math.CT])
来源于:arXiv
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. 查看全文>>