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On graph products of automatic monoids

Published online by Cambridge University Press:  15 August 2002

A. Veloso da Costa
A. Veloso da Costa*
Affiliation:
Centro de Matemática, Universidade do Minho, 4710-057 Braga, Portugal; aveloso@math.uminho.pt.
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Abstract

The graph product is an operator mixing direct and free products. It is already known that free products and direct products of automatic monoids are automatic. The main aim of this paper is to prove that graph products of automatic monoids of finite geometric type are still automatic. A similar result for prefix-automatic monoids is established.

Keywords

Automatic monoidgraph product.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 35 , Issue 5 , September 2001 , pp. 403 - 417
Copyright
© EDP Sciences, 2001

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References

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