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The minimal faithful degree of a semilattice of groups

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

David Easdown
David Easdown
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, 6009, Australia
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Abstract

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This paper constructs a minimal faithful representation of a semilattice of groups by partial transformations. The solution is expressed in terms of join irreducible elements of the semilattice and minimal faithful representations of groups with respect to certain normal subgroups.

MSC classification

Secondary: 20M20: Semigroups of transformations, etc. 20M30: Representation of semigroups; actions of semigroups on sets
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 3 , December 1988 , pp. 341 - 350
Copyright
Copyright © Australian Mathematical Society 1988

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