Geodesic
Congruence schemes and their applications
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 1, pp. 1-14 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Using congruence schemes we formulate new characterizations of congruence distributive, arithmetical and majority algebras. We prove new properties of the tolerance lattice and of the lattice of compatible reflexive relations of a majority algebra and generalize earlier results of H.-J. Bandelt, G. Cz'{e}dli and the present authors. Algebras whose congruence lattices satisfy certain 0-conditions are also studied.
Using congruence schemes we formulate new characterizations of congruence distributive, arithmetical and majority algebras. We prove new properties of the tolerance lattice and of the lattice of compatible reflexive relations of a majority algebra and generalize earlier results of H.-J. Bandelt, G. Cz'{e}dli and the present authors. Algebras whose congruence lattices satisfy certain 0-conditions are also studied.
Classification : 06D15, 08A10, 08A30
Keywords: congruence schemes; majority algebra; tolerance lattice; 0-conditions 
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Chajda, I.; Radelecki, S. Congruence schemes and their applications. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/CMUC_2005_46_1_a0/