Revisiting virtual difference ideals
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2016
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910538060005376 |
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| author | Chatzidakis, Zoé Hrushovski, Ehud |
| author_facet | Chatzidakis, Zoé Hrushovski, Ehud |
| contents | The main idea of [4] was that structures built from periodic prime ideals have better properties from the usual ones built from invariant ideals; but unable to work with periodic ideals alone, we had to generalise further to a somewhat ephemeral setting called virtual ideals. This text has two purposes. It corrects an error in [4] discovered by Tom Scanlon's UCB seminar, recovering all results for all virtual ideals. In addition, based on results in [3], we describe a wide family of difference equations where virtual ideals reduce to periodic ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1608_08438 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Revisiting virtual difference ideals Chatzidakis, Zoé Hrushovski, Ehud Logic 03C60, 12H10 The main idea of [4] was that structures built from periodic prime ideals have better properties from the usual ones built from invariant ideals; but unable to work with periodic ideals alone, we had to generalise further to a somewhat ephemeral setting called virtual ideals. This text has two purposes. It corrects an error in [4] discovered by Tom Scanlon's UCB seminar, recovering all results for all virtual ideals. In addition, based on results in [3], we describe a wide family of difference equations where virtual ideals reduce to periodic ideals. |
| title | Revisiting virtual difference ideals |
| topic | Logic 03C60, 12H10 |
| url | https://arxiv.org/abs/1608.08438 |