Congruence permutable MS-algebras

• Autores: Miguel A. Campercholi, Diego J. Vaggione
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 56, Nº. 2, 2007, págs. 119-131
• Idioma: inglés
• DOI: 10.1007/s00012-007-1976-6
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• Resumen

  • We characterize the congruence permutable MS-algebras in a result analogous to that of Nachbin for distributive lattices. In our main result we prove, among other things, that the congruence permutability of an MS-algebra L is equivalent to the existence of two binary operations in L which satisfy certain equational properties. We show that the class of all congruence permutable MS-algebras with these additional operations forms an equational class. Finally we give a Mal¿cev term for this new variety.