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Rees matrix semigroups and the regular semidirect product
Published online by Cambridge University Press: 09 April 2009
Abstract
A generalization of the Pastijn product is introduced so that, on the level of e-varieties and pseudoe-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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- Copyright © Australian Mathematical Society 2005