Quasicomplemented semilattices
Ivan Chajda (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Ivan Chajda (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Murty, P.V.Ramana, Murty, M.Krishna (1982)
International Journal of Mathematics and Mathematical Sciences
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Ivan Chajda, Helmut Länger (2018)
Mathematica Bohemica
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We extend the notion of a relatively pseudocomplemented meet-semilattice to arbitrary posets. We show some properties of the binary operation of relative pseudocomplementation and provide some corresponding characterizations. We show that relatively pseudocomplemented posets satisfying a certain simple identity in two variables are join-semilattices. Finally, we show that every relatively pseudocomplemented poset is distributive and that the converse holds for posets satisfying the ascending...
Sergio A. Celani, Ismael Calomino (2013)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we shall give a survey of the most important characterizations of the notion of distributivity in semilattices with greatest element and we will present some new ones through annihilators and relative maximal filters. We shall also simplify the topological representation for distributive semilattices given in Celani S.A., Topological representation of distributive semilattices, Sci. Math. Japonicae online 8 (2003), 41–51, and show that the meet-relations are closed under...
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.
George Grätzer, Friedrich Wehrung (1999)
Colloquium Mathematicae
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