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Regular semigroups with a multiplicative inverse transversal

Published online by Cambridge University Press:  14 November 2011

T. S. Blyth  and
R. McFadden
T. S. Blyth
Affiliation:
Mathematical Institute, University of St Andrews
R. McFadden
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, Dekalb, Illinois, U.S.A.
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Synopsis

By an inverse transversal of a regular semigroup S we mean an inverse subsemigroup that contains a single inverse of every element of S. A certain multiplicative property (which in the case of a band is equivalent to normality) is imposed on an inverse transversal and a complete description of the structure of S is obtained.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 92 , Issue 3-4 , 1982 , pp. 253 - 270
Copyright
Copyright © Royal Society of Edinburgh 1982

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References

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