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On quasi-orthodox semigroups with inverse transversals

Published online by Cambridge University Press:  20 January 2009

T. S. Blyth  and
M. H. Almeida Santos
T. S. Blyth
Affiliation:
Mathematical Institute, University of St Andrews, Scotland
M. H. Almeida Santos
Affiliation:
Departamento de Matemática, F.C.T., Universidade Nova de Lisboa, Portugal
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Abstract

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An inverse transversal of a regular semigroup S is an inverse subsemigroup So that contains precisely one inverse of each element of S. Here we consider the case where S is quasi-orthodox. We give natural characterisations of such semigroups and consider various properties of congruences.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 3 , October 1997 , pp. 505 - 514
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

REFERENCES

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