Hypervaluations on hyperfields and ordered canonical hypergroups
Group Theory
2020-09-21 v1
Abstract
We study the concept of hypervaluations on hyperfields. In particular, we show that any hypervaluation from a hyperfield onto an ordered canonical hypergroup is the composition of a hypervaluation onto an ordered abelian group (which induces the same valuation hyperring) and an order preserving homomorphism of hypergroups.
Keywords
Cite
@article{arxiv.2009.08954,
title = {Hypervaluations on hyperfields and ordered canonical hypergroups},
author = {Alessandro Linzi and Hanna Stojałowska},
journal= {arXiv preprint arXiv:2009.08954},
year = {2020}
}