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arXiv · 2502.19863

The Ax-Kochen-Ershov principles via the higher valued hyperfield

Junguk Lee
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Abstract

In this paper, we concern the model theory of finitely ramified henselian valued fields via higher valued hyperfields. Most of all, we provide a number of Ax-Kochen-Ershov Theorems for finitely ramified henselian valued fields relative to higher valued hyperfields. As corollaries, we deduce a transfer of decidability for full theories and existential theories of a finitely ramified henselian valued fields relative to higher valued hyperfields.

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Junguk Lee. 2025-02-27. The Ax-Kochen-Ershov principles via the higher valued hyperfield. https://arxiv.org/abs/2502.19863

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