On graph products of automatic monoids

Issue		RAIRO-Theor. Inf. Appl. Volume 35, Number 5, September-October 2001


Page(s)		403 - 417
DOI		10.1051/ita:2001103

DOI: 10.1051/ita:2001103

Theoret. Informatics Appl. 35, 403-417 (2001)

A. Veloso da Costa

Centro de Matemática, Universidade do Minho, 4710-057 Braga, Portugal; aveloso@math.uminho.pt.

(Received December, 2000. Accepted January, 2002.)

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.

Mathematics Subject Classification. 20M10, 68Q68.

Key words: Automatic monoid -- graph product.

© EDP Sciences 2001

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