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Weak congruences of an algebra with the CEP and the WCIP

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Abstract

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.

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  1. Institute of Mathematics and Physics, University of Podlasie, 08110, Siedlce, Poland

    Andrzej Walendziak

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  1. Andrzej Walendziak
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Walendziak, A. Weak congruences of an algebra with the CEP and the WCIP. Czechoslovak Mathematical Journal 52, 117–127 (2002). https://doi.org/10.1023/A:1021727522345

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