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.
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Pawar, Y.S., Thakare, N.K. The space of minimal prime ideals in a 0-distributive semilattice. Period Math Hung 13, 309–319 (1982). https://doi.org/10.1007/BF01849242
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DOI: https://doi.org/10.1007/BF01849242