Rees matrix semigroups and the regular semidirect product

• Autores: Karl Auinger , M. B. Szendrei
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 79, Nº 1, 2005, págs. 39-60
• Idioma: inglés
• DOI: 10.1017/s1446788700009320
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• Resumen

  • 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.