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A distributive semilattice not isomorphic to the maximal semilattice quotient of the positive cone of any dimension group. (English) Zbl 1025.06003
Summary: We construct a distributive 0-semilattice which is not isomorphic to the maximal semilattice quotient of the positive cone of any dimension group. The size of the semilattice is \({\aleph}_2\).

MSC:
06A12 Semilattices
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