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Remarks concerning finitely generated semigroups having regular sets of unique normal forms

Part of: Special aspects of infinite or finite groups Semigroups

Published online by Cambridge University Press:  09 April 2009

Andrew Cutting  and
Andrew Solomon
Andrew Cutting
Affiliation:
Mathematical Institute University of St AndrewsFife, KY 16 9SSScotland e-mail: andrewc@dcs.st-and.ac.uk
Andrew Solomon
Affiliation:
Department of Mathematics and Statistics Simon Fraser UniversityBurnaby, British Columbia VA5 1S6Canada e-mail: andrew@illywhacker.net
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Abstract

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Properties such as automaticity, growth and decidability are investigated for the class of finitely generated semigroups which have regular sets of unique normal forms. Knowledge obtained is then applied to the task of demonstrating that a class of semigroups derived from free inverse semigroups under certain closure operations is not automatic.

MSC classification

Secondary: 20M18: Inverse semigroups 20M05: Free semigroups, generators and relations, word problems 20F10: Word problems, other decision problems, connections with logic and automata

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 70 , Issue 3 , June 2001 , pp. 293 - 310
Copyright
Copyright © Australian Mathematical Society 2001

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