On quasi-orthodox semigroups with inverse transversals

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.

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Bibliographic Details
Published in:Proceedings of the Edinburgh Mathematical Society 1997-10, Vol.40 (3), p.505-514
Main Authors: Blyth, T. S., Santos, M. H. Almeida
Format: Article
Language:English
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Summary: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.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091500023981