Orders on groups, and spectral spaces of lattice-groups
Group Theory
2020-01-09 v3 Logic
Abstract
Extending pioneering work by Weinberg, Conrad, McCleary, and others, we provide a systematic way of relating spaces of right orders on a partially ordered group, on the one hand, and spectral spaces of free lattice-ordered groups, on the other. The aim of the theory is to pave the way for further fruitful interactions between the study of right orders on groups and that of lattice-groups. Special attention is paid to the important case of orders on groups.
Keywords
Cite
@article{arxiv.1901.07638,
title = {Orders on groups, and spectral spaces of lattice-groups},
author = {Almudena Colacito and Vincenzo Marra},
journal= {arXiv preprint arXiv:1901.07638},
year = {2020}
}
Comments
22 pages; minor changes