Congruences on finite lattices
Bohuslav Sivák (1982)
Mathematica Slovaca
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Bohuslav Sivák (1982)
Mathematica Slovaca
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Iqbalunnisa (1971)
Fundamenta Mathematicae
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George Grätzer, Harry Lakser, E. Tamás Schmidt (1996)
Mathematica Slovaca
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Cándida Palma (2006)
Mathematica Slovaca
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Andrzej Walendziak (2002)
Czechoslovak Mathematical Journal
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Here we consider the weak congruence lattice of an algebra 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.