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arXiv · 2404.14532

The class of Krasner hyperfields is not elementary

Piotr Błaszkiewicz·Piotr Kowalski
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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.

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Piotr Błaszkiewicz, Piotr Kowalski. 2024-04-22. The class of Krasner hyperfields is not elementary. https://arxiv.org/abs/2404.14532

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