Congruences generated by filters
Jaromír Duda (1980)
Commentationes Mathematicae Universitatis Carolinae
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Jaromír Duda (1980)
Commentationes Mathematicae Universitatis Carolinae
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Dumitru Buşneag, Florentina Chirteş (2007)
Open Mathematics
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For an n-valued Łukasiewicz-Moisil algebra L (or LM n-algebra for short) we denote by F n(L) the lattice of all n-filters of L. The goal of this paper is to study the lattice F n(L) and to give new characterizations for the meet-irreducible and completely meet-irreducible elements on F n(L).
Cogan, Eva (2009)
International Journal of Mathematics and Mathematical Sciences
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Jun, Young Bae (2000)
International Journal of Mathematics and Mathematical Sciences
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Sergio A. Celani (2015)
Open Mathematics
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In this paper we shall study a notion of relative annihilator-preserving congruence relation and relative annihilator-preserving homomorphism in the class of bounded distributive semilattices. We shall give a topological characterization of this class of semilattice homomorphisms. We shall prove that the semilattice congruences that are associated with filters are exactly the relative annihilator-preserving congruence relations.
Iseki, Kiyoshi (1950)
Portugaliae mathematica
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