Issue |
RAIRO-Theor. Inf. Appl.
Volume 35, Number 5, September October 2001
|
|
---|---|---|
Page(s) | 403 - 417 | |
DOI | https://doi.org/10.1051/ita:2001103 | |
Published online | 15 August 2002 |
On graph products of automatic monoids
Centro de
Matemática, Universidade do Minho,
4710-057 Braga, Portugal; aveloso@math.uminho.pt.
Received:
December
2000
Accepted:
January
2002
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.
Mathematics Subject Classification: 20M10 / 68Q68
Key words: Automatic monoid / graph product.
© EDP Sciences, 2001
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