Definable Henselian Valuation Rings
| dc.contributor.author | Prestel, Alexander | |
| dc.date.accessioned | 2016-02-10T09:06:12Z | |
| dc.date.available | 2016-02-10T09:06:12Z | |
| dc.date.issued | 2015 | eng |
| dc.description.abstract | We give model theoretic criteria for the existence of ∃∀ and ∀∃- formulas in the ring language to define uniformly the valuation rings O of models (K,O) of an elementary theory Σ of henselian valued fields. As one of the applications we obtain the existence of an ∃∀-formula defining uniformly the valuation rings O of valued henselian fields (K,O) whose residue class field k is finite, pseudofinite, or hilbertian. We also obtain ∀∃-formulas φ2 and φ4 such that φ2 defines uniformly k[[t]] in k(t) whenever k is finite or the function field of a real or complex curve, and φ4 replaces φ2 if k is any number field. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1017/jsl.2014.52 | eng |
| dc.identifier.ppn | 479775524 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/32915 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | definability, valuation rings | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Definable Henselian Valuation Rings | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Prestel2015Defin-32915,
year={2015},
doi={10.1017/jsl.2014.52},
title={Definable Henselian Valuation Rings},
number={04},
volume={80},
issn={0022-4812},
journal={The Journal of Symbolic Logic},
pages={1260--1267},
author={Prestel, Alexander}
} | |
| kops.citation.iso690 | PRESTEL, Alexander, 2015. Definable Henselian Valuation Rings. In: The Journal of Symbolic Logic. 2015, 80(04), pp. 1260-1267. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2014.52 | deu |
| kops.citation.iso690 | PRESTEL, Alexander, 2015. Definable Henselian Valuation Rings. In: The Journal of Symbolic Logic. 2015, 80(04), pp. 1260-1267. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2014.52 | eng |
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| kops.sourcefield | The Journal of Symbolic Logic. 2015, <b>80</b>(04), pp. 1260-1267. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2014.52 | deu |
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| kops.sourcefield.plain | The Journal of Symbolic Logic. 2015, 80(04), pp. 1260-1267. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2014.52 | eng |
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