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Quasi-adequate semigroups

Published online by Cambridge University Press:  14 November 2011

A. El-Qallali  and
J. B. Fountain
A. El-Qallali
Affiliation:
Department of Mathematics, Al-Fateh University, Tripoli
J. B. Fountain
Affiliation:
Department of Mathematics, University of York
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Synopsis

The investigation of general quasi-adequate semigroups is initiated. These are semigroups which are abundant and in which the idempotents form a subsemigroup. For such a semigroup S we study the minimum good congruence γ such that S/γ is adequate. Results on γ together with results from a previous paper of the authors are used to obtain a structure theorem for a class of quasi-adequate semigroups.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 91 , Issue 1-2 , 1981 , pp. 91 - 99
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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