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Definable non‐divisible Henselian valuations

Definable non‐divisible Henselian valuations On a Henselian valued field (K, V), where V is the valuation ring, if the value group contains a convex p‐regular subgroup that is not p‐divisible, then V is definable in the language of rings. A Henselian valuation ring with a regular non‐divisible value group is always 0‐definable. In particular, some results of Ax and of Konenigmann are generalized. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Definable non‐divisible Henselian valuations

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References (16)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/bdt074
Publisher site
See Article on Publisher Site

Abstract

On a Henselian valued field (K, V), where V is the valuation ring, if the value group contains a convex p‐regular subgroup that is not p‐divisible, then V is definable in the language of rings. A Henselian valuation ring with a regular non‐divisible value group is always 0‐definable. In particular, some results of Ax and of Konenigmann are generalized.

Journal

Bulletin of the London Mathematical Society – Wiley

Published: Feb 1, 2014

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