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The class of Krasner hyperfields is not elementary

Authors :
Błaszkiewicz, Piotr
Kowalski, Piotr
Publication Year :
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

Subjects :
Mathematics - Logic
Primary 03C60, Secondary 16Y20

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2404.14532
Document Type :
Working Paper

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