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Characterizations of the $0$ -distributive semilattice

P. Balasubramani — 2003

Mathematica Bohemica

The $0$ -distributive semilattice is characterized in terms of semiideals, 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.

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