Regular semidirect product by completely simple semigroups
03/07/2002 Quarta-feira, 03 de Julho de 2002, 17h30, Sala B1-01
Maria Szendrei
(Universidade de Szeged, Hungria)
A generalization of the Pastijn product is introduced so that, on the level of e-varieties and pseudo-e-varieties, this product and the regular semidirect product by completely simple semigroups `almost always' coincide. This is applied to give a model of the bifree objects in every e-variety formed as a regular semidirect product of a variety of inverse semigroups by a variety of completely simple semigroups that is not a group variety.
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