A Baer-Krull theorem for quasi-ordered groups
Commutative Algebra
2018-10-29 v4 Group Theory
Abstract
We give group analogs of two important theorems of real algebra concerning convex valuations, one of which is the Baer-Krull theorem. We do this by using quasi-orders, which gives a uniform approach to valued and ordered groups. We also recover the classical Baer-Krull theorem from its group analog.
Cite
@article{arxiv.1701.05827,
title = {A Baer-Krull theorem for quasi-ordered groups},
author = {Salma Kuhlmann and Gabriel Lehéricy},
journal= {arXiv preprint arXiv:1701.05827},
year = {2018}
}