Semilattices do not have equationally compact hulls
Evelyn Nelson (1975)
Colloquium Mathematicae
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Evelyn Nelson (1975)
Colloquium Mathematicae
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G. Grätzer, J. Płonka (1970)
Colloquium Mathematicae
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Juhani Nieminen (1976)
Colloquium Mathematicae
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Ivan Chajda (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Jānis Cīrulis (2013)
Mathematica Bohemica
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In recent papers, S. N. Begum and A. S. A. Noor have studied join partial semilattices (JP-semilattices) defined as meet semilattices with an additional partial operation (join) satisfying certain axioms. We show why their axiom system is too weak to be a satisfactory basis for the authors' constructions and proofs, and suggest an additional axiom for these algebras. We also briefly compare axioms of JP-semilattices with those of nearlattices, another kind of meet semilattices with a...
George Grätzer, Friedrich Wehrung (1999)
Colloquium Mathematicae
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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...
Solomon Leader, L. Finkelstein (1971)
Fundamenta Mathematicae
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