Congruence permutable MS-algebras

被引:0
作者
M. Campercholi
D. Vaggione
机构
[1] Universidad Nacional de Córdoba,Facultad de Matemática, Astronomía y Física (Fa.M.A.F.)
[2] Ciudad Universitaria,undefined
来源
Algebra universalis | 2007年 / 56卷
关键词
06D30; 03G10; 08A30; MS-algebras; de Morgan algebras; congruence permutable; Mal’cev term;
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摘要
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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页码:119 / 131
页数:12
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