Generic multiplicative endomorphism of a field
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915106146746368 |
|---|---|
| author | d'Elbée, Christian |
| author_facet | d'Elbée, Christian |
| contents | We introduce the model-companion of the theory of fields expanded by a unary function for a multiplicative map, which we call ACFH. Among others, we prove that this theory is NSOP$_1$ and not simple, that the kernel of the map is a generic pseudo-finite abelian group. We also prove that if forking satisfies existence, then ACFH has elimination of imaginaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_02115 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Generic multiplicative endomorphism of a field d'Elbée, Christian Logic 03C45, 03C10, 03C60 We introduce the model-companion of the theory of fields expanded by a unary function for a multiplicative map, which we call ACFH. Among others, we prove that this theory is NSOP$_1$ and not simple, that the kernel of the map is a generic pseudo-finite abelian group. We also prove that if forking satisfies existence, then ACFH has elimination of imaginaries. |
| title | Generic multiplicative endomorphism of a field |
| topic | Logic 03C45, 03C10, 03C60 |
| url | https://arxiv.org/abs/2212.02115 |