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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.
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