On Auslander-Reiten components of algebras without external short paths
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Date
Journal Title
Journal ISSN
Volume Title
Publisher
The London Mathematical Society
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.
Description
The research supported by the Research Grant N N201 269135 of the Polish Ministry of Science and Higher Education
Keywords
Auslander-Reiten quiver, semi-regular Auslander-Reiten component, self-injective artin algebra, external short path
Citation
Journal of the London Mathematical Society (2) 85 (2012), no. 1, pp. 245–268