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Congruence-free right simple semigroups

Published online by Cambridge University Press:  09 April 2009

P. G. Trotter
P. G. Trotter
Affiliation:
University of Tasmania, Hobart, Australia.
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Abstract

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Congruence-free right simple semigroups with idempotents are simple groups or have order 2. It is shown in this paper that there exist congruence-free simple semigroups without idempotents. Some properties of congruences on right simple semigroups, expressed mainly in terms of their unitary and left unitary subsemigroups, are determined. These are used to provide characterizations of congruence-free right simple semigroups.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 1 , August 1977 , pp. 103 - 111
Copyright
Copyright © Australian Mathematical Society 1977

References

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