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Characterizations of the \(0\)-distributive semilattice. (English) Zbl 1052.06002
Summary: The \(0\)-distributive semilattice is characterized in terms of semi-ideals, ideals and filters. Some sufficient conditions and some necessary conditions for \(0\)-distributivity are obtained. Counterexamples are given to prove that certain conditions are not necessary and certain conditions are not sufficient.

MSC:
06A12 Semilattices
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