Geodesic
Weak congruences of an algebra with the CEP and the WCIP
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 117-127 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Here we consider the weak congruence lattice $C_{W}(A)$ of an algebra $A$ with the congruence extension property (the CEP for short) and the weak congruence intersection property (briefly the WCIP). In the first section we give necessary and sufficient conditions for the semimodularity of that lattice. In the second part we characterize algebras whose weak congruences form complemented lattices.
Here we consider the weak congruence lattice $C_{W}(A)$ of an algebra $A$ with the congruence extension property (the CEP for short) and the weak congruence intersection property (briefly the WCIP). In the first section we give necessary and sufficient conditions for the semimodularity of that lattice. In the second part we characterize algebras whose weak congruences form complemented lattices.
Classification : 06C10, 06C15, 08A30
Keywords: weak congruence; CEP; WCIP; semimodular lattice; complemented lattice 
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Walendziak, Andrzej. Weak congruences of an algebra with the CEP and the WCIP. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 117-127. http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a10/

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