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arXiv · 1707.03188

Eliminating Field Quantifiers in Strongly Dependent Henselian Fields

Yatir Halevi·Assaf Hasson
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Abstract

We prove elimination of field quantifiers for strongly dependent henselian fields in the Denef-Pas language. This is achieved by proving the result for a class of fields generalizing algebraically maximal Kaplansky fields. We deduce that if $(K,v)$ is strongly dependent then so is its henselization.

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BibTeXRIS

Yatir Halevi, Assaf Hasson. 2017-07-11. Eliminating Field Quantifiers in Strongly Dependent Henselian Fields. https://arxiv.org/abs/1707.03188

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