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arxiv: 1405.0935 · v2 · pith:LJ3CF6IUnew · submitted 2014-05-05 · 🧮 math.RA

Conservative median algebras and semilattices

classification 🧮 math.RA
keywords algebrasmedianchainsconservativesemilatticescertaincharacterizedescriptions
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We characterize conservative median algebras and semilattices by means of forbidden substructures and by providing their representation as chains. Moreover, using a dual equivalence between median algebras and certain topological structures, we obtain descriptions of the median-preserving mappings between products of finitely many chains.

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