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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.14532 |
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| _version_ | 1866917647705178112 |
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| author | Błaszkiewicz, Piotr Kowalski, Piotr |
| author_facet | Błaszkiewicz, Piotr Kowalski, Piotr |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14532 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The class of Krasner hyperfields is not elementary Błaszkiewicz, Piotr Kowalski, Piotr Logic Primary 03C60, Secondary 16Y20 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. |
| title | The class of Krasner hyperfields is not elementary |
| topic | Logic Primary 03C60, Secondary 16Y20 |
| url | https://arxiv.org/abs/2404.14532 |