Representable posets and their order components
Logic
2007-05-30 v1
Abstract
A partially ordered set P is representable if there is a bounded distributive lattice such that its ordered set of prime ideals is order-isomorphic to P. We show that if the order components of a poset P are representable, then so is P. Moreover, we provide an example disproving the converse.
Cite
@article{arxiv.0705.4259,
title = {Representable posets and their order components},
author = {Michael E. Adams and Dominic van der Zypen},
journal= {arXiv preprint arXiv:0705.4259},
year = {2007}
}