Open Access
April, 2007 Concealed generalized canonical algebras and standard stable tubes
Piotr MALICKI, Andrzej SKOWROŃSKI
J. Math. Soc. Japan 59(2): 521-539 (April, 2007). DOI: 10.2969/jmsj/05920521

Abstract

We introduce the class of concealed generalized canonical algebras and prove that their Auslander-Reiten quiver admits an infinite family of faithful standard stable tubes. Moreover, a new wide class of selfinjective algebras whose Auslander-Reiten quiver admits an infinite family of standard stable tubes is exhibited.

Citation

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Piotr MALICKI. Andrzej SKOWROŃSKI. "Concealed generalized canonical algebras and standard stable tubes." J. Math. Soc. Japan 59 (2) 521 - 539, April, 2007. https://doi.org/10.2969/jmsj/05920521

Information

Published: April, 2007
First available in Project Euclid: 1 October 2007

zbMATH: 1151.16020
MathSciNet: MR2325695
Digital Object Identifier: 10.2969/jmsj/05920521

Subjects:
Primary: 16E30 , 16G10
Secondary: 16D50 , 16G70

Keywords: generalized canonical algebra , selfinjective algebra , stable tube , Tilted algebra

Rights: Copyright © 2007 Mathematical Society of Japan

Vol.59 • No. 2 • April, 2007
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