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arXiv · 1112.0852

On Auslander-Reiten components of algebras without external short paths

Alicja Jaworska·Piotr Malicki·Andrzej Skowroński
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Abstract

We describe the structure of semi-regular Auslander-Reiten components of artin algebras without external short paths in the module category. As an application we give a complete description of self-injective artin algebras whose Auslander-Reiten quiver admits a regular acyclic component without external short paths.

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Alicja Jaworska, Piotr Malicki, Andrzej Skowroński. 2011-12-05. On Auslander-Reiten components of algebras without external short paths. https://doi.org/10.1112/jlms%2Fjdr034

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