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The cyclicity problem for the images of Q-rational series

Published online by Cambridge University Press:  22 August 2011

Juha Honkala
Juha Honkala*
Affiliation:
Department of Mathematics, University of Turku, 20014 Turku, Finland. juha.honkala@utu.fi
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Abstract

We show that it is decidable whether or not a given Q-rational series in several noncommutative variables has a cyclic image. By definition, a series r has a cyclic image if there is a rational number q such that all nonzero coefficients of r are integer powers of q.

Keywords

Rational seriesimages of rational seriesdecidability
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 45 , Issue 4 , November 2011 , pp. 375 - 381
Copyright
© EDP Sciences 2011

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References

Références

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