Hostname: page-component-788cddb947-2s2w2 Total loading time: 0 Render date: 2024-10-15T03:38:18.117Z Has data issue: false hasContentIssue false
  • English
  • Français

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 ([email protected])
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 ([email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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