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Idempotents in completely 0-simple semigroups

Published online by Cambridge University Press:  18 May 2009

J. M. Howie
Affiliation:
The Mathematical Institute, University of St. Andrews
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The structure theorem for completely 0-simple semigroups established by Rees [5] in 1940 has proved a very powerful tool in the investigation of such semigroups. In this paper the theorem is applied to an investigation of the subsemigroup of a completely 0-simple semigroup generated by its idempotents. Previous work on this problem has been carried out by Kim [4], but the present note offers a more direct approach.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978