Relative Complements in the Weak Congruence Lattice
Branimir Šešelja, Andreja Tepavčević (2000)
Publications de l'Institut Mathématique
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Branimir Šešelja, Andreja Tepavčević (2000)
Publications de l'Institut Mathématique
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Cándida Palma (2006)
Mathematica Slovaca
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Jozef Pócs (1982)
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Morgado, José (1964)
Portugaliae mathematica
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Petrich, Mario (2007)
Acta Mathematica Universitatis Comenianae. New Series
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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.