On Auslander-Reiten components of algebras without external short paths
Representation Theory
2012-01-20 v1
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.
Keywords
Cite
@article{arxiv.1112.0852,
title = {On Auslander-Reiten components of algebras without external short paths},
author = {Alicja Jaworska and Piotr Malicki and Andrzej Skowroński},
journal= {arXiv preprint arXiv:1112.0852},
year = {2012}
}