One-variable equationally compact distributive lattices
Isidore Fleischer (1984)
Mathematica Slovaca
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Isidore Fleischer (1984)
Mathematica Slovaca
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Ivan Chajda (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Kiyomitsu Horiuchi, Andreja Tepavčević (2001)
Discussiones Mathematicae - General Algebra and Applications
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A triple-semilattice is an algebra with three binary operations, which is a semilattice in respect of each of them. A trice is a triple-semilattice, satisfying so called roundabout absorption laws. In this paper we investigate distributive trices. We prove that the only subdirectly irreducible distributive trices are the trivial one and a two element one. We also discuss finitely generated free distributive trices and prove that a free distributive trice with two generators has 18 elements. ...
Ivan Chajda, Jan Kühr (2006)
Mathematica Slovaca
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Ján Jakubík, Milan Kolibiar (1977)
Mathematica Slovaca
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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.