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Bisimple ω-Semigroups

Published online by Cambridge University Press:  18 May 2009

N. R. Reilly
N. R. Reilly
Affiliation:
University of GlasgowGlasgow, W.2
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The structure of a bisimple inverse semigroup with an identity has been related by Clifford [2] to that of its right unit subsemigroup. In this paper we give an explicit structure theorem for bisimple inverse semigroups in which the idempotents form a simple descending chain

e0 > e1 > e2.…

We call such a semigroup a bisimple co-semigroup. The structure of a semigroup of this kind is shown to be determined entirely by its group of units and an endomorphism of its group of units.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 7 , Issue 3 , January 1966 , pp. 160 - 167
Copyright
Copyright © Glasgow Mathematical Journal Trust 1966

References

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