The space of minimal prime ideals in a 0-distributive semilattice期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The space of minimal prime ideals in a 0-distributive semilattice

Authors:	Y S Pawar N K Thakare

Institution:	(1) Department of Mathematics and Statistics, Marathwada University, IND-431004 Aurangabad, India;(2) Present address: Jai Mind College of Arts Science and Commerce, IND-424002 Deopur, Dhule, India

Abstract:	LetS be a 0-distributive semilattice and $\mathfrak{M}$ be its minimal spectrum. It is shown that $\mathfrak{M}$ is Hausdorff. The compactness of $\mathfrak{M}$ has been characterized in several ways. A representation theorem (like Stone's theorem for Boolean algebras) for disjunctive, 0-distributive semilattices is obtained.

Keywords:	Primary 06A35 Secondary 06A25 06A30
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