P. Balasubramani, Department of Mathematics, Kongu Engineering College, Perundurai, Erode-638 052, India, e-mail: pbalu_20032001@yahoo.co.in
Abstract: 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.
Keywords: semilattice, prime ideal, filter
Classification (MSC 2000): 06A12, 06A99, 06B10, 06B99
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