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MATHEMATICA BOHEMICA, Vol. 128, No. 3, pp. 237-252 (2003)
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Characterizations of the $0$-distributive semilattice

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P. Balasubramani

* 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 (MSC2000):** 06A12, 06A99, 06B10, 06B99

**Full text of the article:**

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