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Mathematics > Logic

Title: The class of Krasner hyperfields is not elementary

Authors: Piotr Błaszkiewicz, Piotr Kowalski
(Submitted on 22 Apr 2024)
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.
Subjects: Logic (math.LO)
MSC classes: Primary 03C60, Secondary 16Y20
Cite as: arXiv:2404.14532 [math.LO]
  (or arXiv:2404.14532v1 [math.LO] for this version)

Submission history

From: Piotr Kowalski [view email]
[v1] Mon, 22 Apr 2024 19:01:01 GMT (13kb)
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