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Extensions by inverse semigroups andλ-semidirect products

Published online by Cambridge University Press:  01 October 1999

Martin Kuřil  and
Mária B. Szendrei
Martin Kuřil
Affiliation:
Department of Mathematics, J. E. Purkyně University, České mládeže 8, 400 96 Ústí nad Labem, Czech Republic. E-mail:[email protected]
Mária B. Szendrei
Affiliation:
József Attila University, Bolyai Institute, 6720 Szeged, Aradi Vértanúk tere 1, Hungary. E-mail:[email protected]
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Abstract

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The ‘canonical embedding approach’ was introduced by the second author and, subsequently, it has been applied several times to prove the embeddability of certain regular extensions by groups into semidirect products by groups. In the present paper this technique is generalized so that it is suitable to handle regular extensions by inverse semigroups. As an application, B. Billhardt's embedding theorem on regular extensions of semilattices by inverse semigroups is reproved.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 41 , Issue 3 , October 1999 , pp. 355 - 367
Copyright
1999 Glasgow Mathematical Journal Trust