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Bisimple ω-Semigroups
Published online by Cambridge University Press: 18 May 2009
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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.
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- Copyright © Glasgow Mathematical Journal Trust 1966
References
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