Publikation: Existential ∅-Definability of Henselian Valuation Rings
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2015
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The Journal of Symbolic Logic. 2015, 80(1), pp. 301-307. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2014.13
Zusammenfassung
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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Fachgebiet (DDC)
510 Mathematik
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Henselian valuation, existential definability, finite fields, pseudo-algebraically closed fields
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FEHM, Arno, 2015. Existential ∅-Definability of Henselian Valuation Rings. In: The Journal of Symbolic Logic. 2015, 80(1), pp. 301-307. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2014.13BibTex
@article{Fehm2015Exist-31393,
year={2015},
doi={10.1017/jsl.2014.13},
title={Existential ∅-Definability of Henselian Valuation Rings},
number={1},
volume={80},
issn={0022-4812},
journal={The Journal of Symbolic Logic},
pages={301--307},
author={Fehm, Arno}
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