Abstract.
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.
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Received May 12, 2005; accepted in final form November 5, 2005.
Research supported by ANPCyT (Contrato Préstamo BID 1201/OC-AR) and SECyT (UNC)
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Campercholi, M., Vaggione, D. Congruence permutable MS-algebras. Algebra univers. 56, 119–131 (2007). https://doi.org/10.1007/s00012-007-1976-6
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DOI: https://doi.org/10.1007/s00012-007-1976-6