The class of Krasner hyperfields is not elementary

Autor:	Błaszkiewicz, Piotr, Kowalski, Piotr
Rok vydání:	2024
Předmět:	Mathematics - Logic Primary 03C60 Secondary 16Y20
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.14532 Zobrazit plný text záznamu View this record from Arxiv