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On a special class of median algebras. (English) Zbl 1399.06036

Summary: In this short note we consider a class of median algebras, called \((1,2:3)\)-semilattices, that is pertaining to cluster analysis. Such median algebras arise from a natural generalization of conservativeness, and their description is given in terms of forbidden substructures.

MSC:

06D99 Distributive lattices
06A12 Semilattices
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