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Bisimple ω-Semigroups
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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 chaine0 > 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.
Cambridge University Press (CUP)
Title: Bisimple ω-Semigroups
Description:
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 chaine0 > 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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