Hostname: page-component-848d4c4894-4rdrl Total loading time: 0 Render date: 2024-06-19T22:28:11.264Z Has data issue: false hasContentIssue false
  • English
  • Français

REES MATRIX COVERS FOR A CLASS OF SEMIGROUPS WITH LOCALLY COMMUTING IDEMPOTENTS

Published online by Cambridge University Press:  20 January 2009

Tanveer A. Khan  and
Mark V. Lawson
Tanveer A. Khan
Affiliation:
School of Mathematics, University of Wales, Bangor, Dean Street, Bangor, Gwynedd LL57 1UT, UK
Mark V. Lawson
Affiliation:
School of Mathematics, University of Wales, Bangor, Dean Street, Bangor, Gwynedd LL57 1UT, UK
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.

McAlister proved that every regular locally inverse semigroup can be covered by a regular Rees matrix semigroup over an inverse semigroup by means of a homomorphism which is locally an isomorphism. We generalize this result to the class of semigroups with local units whose local submonoids have commuting idempotents and possessing what we term a ‘McAlister sandwich function’.

AMS 2000 Mathematics subject classification: Primary 20M10. Secondary 20M17

Keywords

Rees matrix coverslocally inverse semigroupssemigroups with local unitssemigroups with commuting idempotents
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 44 , Issue 1 , February 2001 , pp. 173 - 186
Copyright
Copyright © Edinburgh Mathematical Society 2001