English

Conservative median algebras and semilattices

Rings and Algebras 2016-02-15 v2

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

Cite

@article{arxiv.1405.0935,
  title  = {Conservative median algebras and semilattices},
  author = {Miguel Couceiro and Jean-Luc Marichal and Bruno Teheux},
  journal= {arXiv preprint arXiv:1405.0935},
  year   = {2016}
}