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June 2008 A Condition for Algebras Associated with a Cyclic Quiver to Be Symmetric
Takashi Teshigawara
Tsukuba J. Math. 32(1): 27-35 (June 2008). DOI: 10.21099/tkbjm/1496165190

Abstract

Let $K$ be a field, $f(x)$ a monic polynomial in $K[x]$ and $KG$ the path algebra of a cyclic quiver $G$ with $s$ vertices and $s$ arrows. In this paper, we give a necessary and sufficient condition for the algebra $K\Gamma/(f(X))$ to be a symmetric algebra, where $X$ is the sum of all arrows in $K\Gamma$.

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Takashi Teshigawara. "A Condition for Algebras Associated with a Cyclic Quiver to Be Symmetric." Tsukuba J. Math. 32 (1) 27 - 35, June 2008. https://doi.org/10.21099/tkbjm/1496165190

Information

Published: June 2008
First available in Project Euclid: 30 May 2017

zbMATH: 1150.16015
MathSciNet: MR2433015
Digital Object Identifier: 10.21099/tkbjm/1496165190

Rights: Copyright © 2008 University of Tsukuba, Institute of Mathematics

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Vol.32 • No. 1 • June 2008
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