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arXiv · 1704.02910

Definable Valuations induced by multiplicative subgroups and NIP Fields

Katharina Dupont·Assaf Hasson·Salma Kuhlmann
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Abstract

We study the algebraic implications of the non-independence property (NIP) and variants thereof (dp-minimality) on infinite fields, motivated by the conjecture that all such fields which are neither real closed nor separably closed admit a definable henselian valuation. Our results mainly focus on Hahn fields and build up on Will Johnson's preprint "dp-minimal fields", arXiv: 1507.02745v1, July 2015.

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Katharina Dupont, Assaf Hasson, Salma Kuhlmann. 2017-04-10. Definable Valuations induced by multiplicative subgroups and NIP Fields. https://arxiv.org/abs/1704.02910

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