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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.00123 |
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| _version_ | 1866910096259284992 |
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| author | Leandro, Bryan González |
| author_facet | Leandro, Bryan González |
| contents | In this paper, we prove weak elimination of imaginaries for perfect bounded pseudo-algebraically closed fields equipped with finitely many independent valuations. Our approach combines an extension result for types to invariant types with an amalgamation theorem. As a special case, we obtain full elimination of imaginaries when the field is equipped with a single valuation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00123 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Imaginaries in perfect bounded pseudo algebraically closed fields with finitely many independent valuations Leandro, Bryan González Logic In this paper, we prove weak elimination of imaginaries for perfect bounded pseudo-algebraically closed fields equipped with finitely many independent valuations. Our approach combines an extension result for types to invariant types with an amalgamation theorem. As a special case, we obtain full elimination of imaginaries when the field is equipped with a single valuation. |
| title | Imaginaries in perfect bounded pseudo algebraically closed fields with finitely many independent valuations |
| topic | Logic |
| url | https://arxiv.org/abs/2604.00123 |