The class of Krasner hyperfields is not elementary
Logic
2024-04-24 v1
Abstract
We show that the class of Krasner hyperfields is not elementary. To show this, we determine the rational rank of quotients of multiplicative groups in field extensions. Our argument uses Chebotarev's density theorem. We also discuss some related questions.
Cite
@article{arxiv.2404.14532,
title = {The class of Krasner hyperfields is not elementary},
author = {Piotr Błaszkiewicz and Piotr Kowalski},
journal= {arXiv preprint arXiv:2404.14532},
year = {2024}
}