On homomorphisms between products of median algebras
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Details
| Original language | English |
|---|---|
| Pages (from-to) | 545–553 |
| Number of pages | 9 |
| Journal | Algebra Universalis |
| Volume | 78 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2017 |
| Publication type | A1 Journal article-refereed |
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.