Geodesic
A note on triangular schemes for weak congruences
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 683-690

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Some geometrical methods, the so called Triangular Schemes and Principles, are introduced and investigated for weak congruences of algebras. They are analogues of the corresponding notions for congruences. Particular versions of Triangular Schemes are equivalent to weak congruence modularity and to weak congruence distributivity. For algebras in congruence permutable varieties, stronger properties—Triangular Principles—are equivalent to weak congruence modularity and distributivity.
Some geometrical methods, the so called Triangular Schemes and Principles, are introduced and investigated for weak congruences of algebras. They are analogues of the corresponding notions for congruences. Particular versions of Triangular Schemes are equivalent to weak congruence modularity and to weak congruence distributivity. For algebras in congruence permutable varieties, stronger properties—Triangular Principles—are equivalent to weak congruence modularity and distributivity.
Classification : 08A05, 08A30
Keywords: triangular scheme; triangular principle; weak congruence; weak congruence modularity; weak congruence distributivity 
Chajda, Ivan; Šešelja, Branimir; Tepavčević, Andreja. A note on triangular schemes for weak congruences. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 3, pp. 683-690. http://geodesic.mathdoc.fr/item/CMJ_2005_55_3_a9/
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