Existential ∅-Definability of Henselian Valuation Rings

Fehm, Arno

Existential ∅-Definability of Henselian Valuation Rings

Files

Fehm_0-287143.pdf(110.72 KB)

Date

2015

Publication type

Journal article

Published in

The Journal of Symbolic Logic ; 80 (2015), 1. - pp. 301-307. - ISSN 0022-4812. - eISSN 1943-5886

Abstract

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.

Subject (DDC)

510 Mathematics

Keywords

Henselian valuation, existential definability, finite fields, pseudo-algebraically closed fields

Cite This

ISO 690

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

BibTex

@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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