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Communications in Algebra Volume 44, 2016 - Issue 1
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Original Articles

The Cellularity of Twisted Doubles of Algebras with Radical Square Zero

Pei Wang School of Mathematical Sciences, Beijing Normal University, Beijing, P. R. ChinaCorrespondence[email protected]
Pages 390-403 | Received 16 Apr 2014, Published online: 19 Oct 2015
 
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Abstract

In this article, we prove that, for a radical square zero algebra A given by a finite quiver Q without multiple arrows, the twisted double of A is cellular if and only if Q has no cycles.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENT

The author acknowledges his supervisor Prof. C. C. Xi. Also, the author is grateful to Dr. W. Hu for his stimulating discussions and to the referee for many helpful suggestions. He also acknowledges Dr. C. J. Zhuge for many suggestions on English expressions.

Notes

Communicated by J. Zhang

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