On the Auslander-Reiten quiver of a P-1-hereditary artin algebra

摘要

We investigate the Auslander-Reiten quiver of a P-1-hereditary artin algebra Lambda by relating it to the Auslander-Reiten quiver of a suitable tilted algebra. We then obtain that the Auslander-Reiten components of Lambda are postprojective, or preinjective, or quasi-serial, or obtained from a quasi-serial translation quiver by coray insertions, or they can be interpreted as glueings of a finite number of components which are either postprojective or preinjective. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 16G79; 16G20. [References: 20]