Existential ∅-Definability of Henselian Valuation Rings
| Type of Publication: | Journal article |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-0-287143 |
| Author: | Fehm, Arno |
| Year of publication: | 2015 |
| Published in: | The Journal of Symbolic Logic ; 80 (2015), 1. - pp. 301-307. - ISSN 0022-4812. - eISSN 1943-5886 |
| DOI (citable link): | https://dx.doi.org/10.1017/jsl.2014.13 |
| Summary: |
In [1], Anscombe and Koenigsmann give an existential ∅-definition of the ring of formal power series F[[t]] in its quotient field in the case where F is finite. We extend their method in several directions to give general definability results for henselian valued fields with finite or pseudo-algebraically closed residue fields.
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| Subject (DDC): | 510 Mathematics |
| Keywords: | Henselian valuation, existential definability, finite fields, pseudo-algebraically closed fields |
| Link to License: | Terms of use |
| Bibliography of Konstanz: | Yes |
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FEHM, Arno, 2015. Existential ∅-Definability of Henselian Valuation Rings. In: The Journal of Symbolic Logic. 80(1), pp. 301-307. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2014.13
@article{Fehm2015Exist-31393, title={Existential ∅-Definability of Henselian Valuation Rings}, year={2015}, doi={10.1017/jsl.2014.13}, number={1}, volume={80}, issn={0022-4812}, journal={The Journal of Symbolic Logic}, pages={301--307}, author={Fehm, Arno} }
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