On the quantifier complexity of definable canonical Henselian valuations

Fehm, Arno; Jahnke, Franziska

On the quantifier complexity of definable canonical Henselian valuations

Dateien

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Datum

2015

Autor:innen

Fehm, Arno

Jahnke, Franziska

DOI (zitierfähiger Link)

https://doi.org/10.1002/malq.201400108

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Mathematical Logic Quarterly. 2015, 61(4-5), pp. 347-361. ISSN 0942-5616. eISSN 1521-3870. Available under: doi: 10.1002/malq.201400108

Zusammenfassung

We discuss definability in the language of rings without parameters of the unique canonical Henselian valuation of a field. We show that in most cases where the canonical Henselian valuation is definable, it is already definable by a universal-existential or an existential-universal formula.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

FEHM, Arno, Franziska JAHNKE, 2015. On the quantifier complexity of definable canonical Henselian valuations. In: Mathematical Logic Quarterly. 2015, 61(4-5), pp. 347-361. ISSN 0942-5616. eISSN 1521-3870. Available under: doi: 10.1002/malq.201400108

BibTex

@article{Fehm2015quant-32306,
  year={2015},
  doi={10.1002/malq.201400108},
  title={On the quantifier complexity of definable canonical Henselian valuations},
  number={4-5},
  volume={61},
  issn={0942-5616},
  journal={Mathematical Logic Quarterly},
  pages={347--361},
  author={Fehm, Arno and Jahnke, Franziska}
}

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