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The minimal faithful degree of a fundamental inverse semigroup

Published online by Cambridge University Press:  17 April 2009

D. Easdown
D. Easdown
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, W.A. 6009
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Abstract

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This paper shows that the smallest size of a set for which a finite fundamental inverse semigroup can be faithfully represented by partial transformations of that set is the number of join irreducible elements of its semilattice of idempotents.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 35 , Issue 3 , June 1987 , pp. 373 - 378
Copyright
Copyright © Australian Mathematical Society 1987

References

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