On homomorphisms between products of median algebras
Research output: Contribution to journal › Article › Scientific › peer-review
|Number of pages||9|
|Publication status||Published - 2017|
|Publication type||A1 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.