Cartan matrices of symmetric algebras having generalized standard stable tubes
Jerzy Biał kowski, Andrzej Skowroński and Kunio Yamagata
Source: Osaka J. Math. Volume 45, Number 1 (2008), 159-171.
Abstract
We prove that the Cartan matrices of the symmetric artin algebras whose Auslander-Reiten quivers admit a generalized standard stable tube are singular and derive some consequences.
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2008 © Osaka University and Osaka City University, Departments of Mathematics
Osaka Journal of Mathematics