On Auslander-Reiten components of algebras without external short paths
arXiv:1112.0852 · doi:10.1112/jlms/jdr034
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.