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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.

Information

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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