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RP-dominated regular semigroups

Published online by Cambridge University Press:  14 November 2011

T. S. Blyth  and
J. B. Hickey
T. S. Blyth
Affiliation:
Mathematical Institute, University of St Andrews
J. B. Hickey
Affiliation:
Department of Mathematics, University of Glasgow
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Extract

We describe the structure of regular semigroups in which each element is dominated, in the Nambooripad order, by a unique maximal element that is ℋ-equivalent to a mididentity. These are precisely direct products of a rectangular band and a uniquely unit regular semigroup.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 1-2 , 1984 , pp. 185 - 191
Copyright
Copyright © Royal Society of Edinburgh 1984

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