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PROPER COVERS OF AMPLE MONOIDS

Published online by Cambridge University Press:  30 May 2006

John Fountain  and
Gracinda M. S. Gomes
John Fountain
Affiliation:
Department of Mathematics, University of York, Heslington, York YO10 5DD, UK (jbf1@york.ac.uk)
Gracinda M. S. Gomes
Affiliation:
Centro de Álgebra da Universidade de Lisboa, Avenida Professor Gama Pinto 2, 1649-003 Lisboa, Portugal Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, 1746-016 Lisboa, Portugal (ggomes@cii.fc.ul.pt)
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Abstract

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Proper ample monoids are described by means of a certain category acted upon on both sides by a cancellative monoid. Making use of this characterization, we show that every ample monoid $S$ has a proper ample cover, which can be taken to be finite whenever $S$ is finite.

Keywords

Primary 20M10covers of monoidsample monoidsproper covers
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 49 , Issue 2 , June 2006 , pp. 277 - 289
Copyright
Copyright © Edinburgh Mathematical Society 2006