On homomorphisms between products of median algebras

Miguel Couceiro; Stephan Foldes; Gerasimos C. Meletiou

doi:10.1007/s00012-017-0468-6

On homomorphisms between products of median algebras

Miguel Couceiro, Stephan Foldes, Gerasimos C. Meletiou

Research output: Contribution to journal › Article › Scientific › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	545–553
Number of pages	9
Journal	Algebra Universalis
Volume	78
Issue number	4
DOIs	https://doi.org/10.1007/s00012-017-0468-6
Publication status	Published - 2017
Publication type	A1 Journal article-refereed

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Publication forum level 1

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s00012-017-0468-6

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title = "On homomorphisms between products of median algebras",

abstract = "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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AU - Couceiro, Miguel

AU - Foldes, Stephan

AU - Meletiou, Gerasimos C.

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AB - 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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DO - 10.1007/s00012-017-0468-6

M3 - Article

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JO - Algebra Universalis

JF - Algebra Universalis

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On homomorphisms between products of median algebras

Abstract

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