Exponential Fields: Lack of Generic Derivations
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913439245402112 |
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| author | Antongiulio, Fornasiero Terzo, Giuseppina |
| author_facet | Antongiulio, Fornasiero Terzo, Giuseppina |
| contents | We investigate the existence of "generic derivations" in exponential fields. We show that exponential fields without additional compatibility conditions between derivation and exponentiation cannot support a generic derivation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14840 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponential Fields: Lack of Generic Derivations Antongiulio, Fornasiero Terzo, Giuseppina Logic 03C60, 03C10 (Primary) 12H05, 12L12 (Secondary) We investigate the existence of "generic derivations" in exponential fields. We show that exponential fields without additional compatibility conditions between derivation and exponentiation cannot support a generic derivation. |
| title | Exponential Fields: Lack of Generic Derivations |
| topic | Logic 03C60, 03C10 (Primary) 12H05, 12L12 (Secondary) |
| url | https://arxiv.org/abs/2407.14840 |