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Preprint Number 975

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975. Sylvy Anscombe and Franziska Jahnke
Henselianity in the language of rings

Submission date: 14 December 2015


We consider four properties of a field K related to the existence of (definable) henselian valuations on K and on elementarily equivalent fields, and study the implications between them. Surprisingly, the full pictures look very different in equicharacteristic and mixed characteristic.

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Full text arXiv 1512.04588: pdf, ps.

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