On homomorphisms between products of median algebras
Tutkimustuotos › › vertaisarvioitu
Yksityiskohdat
| Alkuperäiskieli | Englanti |
|---|---|
| Sivut | 545–553 |
| Sivumäärä | 9 |
| Julkaisu | Algebra Universalis |
| Vuosikerta | 78 |
| Numero | 4 |
| DOI - pysyväislinkit | |
| Tila | Julkaistu - 2017 |
| OKM-julkaisutyyppi | A1 Alkuperäisartikkeli |
Tiivistelmä
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.