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E-unitary regular semigroups

Published online by Cambridge University Press:  14 November 2011

Mária B. Szendrei
Mária B. Szendrei
Affiliation:
József Attila University, Bolyai Institute, Szeged, Hungary
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Synopsis

Let S be an E-unitary regular semigroup and V a variety of bands. We prove that S can be embedded into a semidirect product of a band from V by a group if and only if S can be embedded in a canonical way into the semidirect product of the free band in V over a well-determined partial semigroup by the greatest group homomorphic image of S. Moreover, we show that every E-unitary regular semigroup with regular band of idempotents E can be embedded into a semidirect product of a band B by a group, where B belongs to the variety of bands generated by E.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 106 , Issue 1-2 , 1987 , pp. 89 - 102
Copyright
Copyright © Royal Society of Edinburgh 1987

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