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On homomorphisms between products of median algebras

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Original languageEnglish
Pages (from-to)545–553
Number of pages9
JournalAlgebra Universalis
Issue number4
Publication statusPublished - 2017
Publication typeA1 Journal article-refereed


Homomorphisms of products of median algebras are studied with particular attention to the case when the codomain is a tree. In particular, we show that all mappings from a product (Formula presented.) of median algebras to a median algebra (Formula presented.) are essentially unary whenever the codomain (Formula presented.) is a tree. In view of this result, we also characterize trees as median algebras and semilattices by relaxing the defining conditions of conservative median algebras.

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Field of science, Statistics Finland