On a Galois correspondence between the lattice of ideals and the lattice of congruences on a lattice L
Iqbalunnisa (1966)
Fundamenta Mathematicae
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Iqbalunnisa (1966)
Fundamenta Mathematicae
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Cándida Palma (2006)
Mathematica Slovaca
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Morgado, José (1962)
Portugaliae mathematica
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Branimir Šešelja, Andreja Tepavčević (2000)
Publications de l'Institut Mathématique
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Hasan Barzegar (2019)
Bulletin of the Section of Logic
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The present note is an Erratum for the two theorems of the paper "Congruences and ideals in a distributive lattice with respect to a derivation" by M. Sambasiva Rao.
Boris M. Vernikov (1997)
Commentationes Mathematicae Universitatis Carolinae
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We describe -sets whose congruences satisfy some natural lattice or multiplicative restrictions. In particular, we determine -sets with distributive, arguesian, modular, upper or lower semimodular congruence lattice as well as congruence -permutable -sets for .
Beazer, R. (1994)
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.