Balasubramani, P. Characterizations of the \(0\)-distributive semilattice. (English) Zbl 1052.06002 Math. Bohem. 128, No. 3, 237-252 (2003). 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. Cited in 1 Document MSC: 06A12 Semilattices Keywords:semilattice; prime ideal; filter PDF BibTeX XML Cite \textit{P. Balasubramani}, Math. Bohem. 128, No. 3, 237--252 (2003; Zbl 1052.06002) Full Text: EuDML