The domination monoid in henselian valued fields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866909184363069440 |
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| author | Hils, Martin Mennuni, Rosario |
| author_facet | Hils, Martin Mennuni, Rosario |
| contents | We study the domination monoid in various classes of structures arising from the model theory of henselian valuations, including RV-expansions of henselian valued fields of residue characteristic 0 (and, more generally, of benign valued fields), p-adically closed fields, monotone D-henselian differential valued fields with many constants, regular ordered abelian groups, and pure short exact sequences of abelian structures. We obtain Ax-Kochen-Ershov type reductions to suitable fully embedded families of sorts in quite general settings, and full computations in concrete ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_13999 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The domination monoid in henselian valued fields Hils, Martin Mennuni, Rosario Logic 03C45 (Primary) 03C60, 03C64, 12J10, 12L12 (Secondary) We study the domination monoid in various classes of structures arising from the model theory of henselian valuations, including RV-expansions of henselian valued fields of residue characteristic 0 (and, more generally, of benign valued fields), p-adically closed fields, monotone D-henselian differential valued fields with many constants, regular ordered abelian groups, and pure short exact sequences of abelian structures. We obtain Ax-Kochen-Ershov type reductions to suitable fully embedded families of sorts in quite general settings, and full computations in concrete ones. |
| title | The domination monoid in henselian valued fields |
| topic | Logic 03C45 (Primary) 03C60, 03C64, 12J10, 12L12 (Secondary) |
| url | https://arxiv.org/abs/2108.13999 |