Conservative Median Algebras and Semilattices |
| |
| Authors: | Miguel Couceiro Jean-Luc Marichal Bruno Teheux |
| |
| Affiliation: | 1.LORIA (CNRS - Inria Nancy Grand Est - Université de Lorraine),Vandoeuvre-lès-Nancy,France;2.Mathematics Research Unit, FSTC,University of Luxembourg,Luxembourg,Luxembourg |
| |
| Abstract: | We characterize conservative median algebras and semilattices by means of forbidden substructures and by providing their representation as chains. Moreover, using a dual equivalence between median algebras and certain topological structures, we obtain descriptions of the median-preserving mappings between products of finitely many chains. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
