Separably closed fields and contractive Ore modules

Luc Bélair; Françoise Point

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arXiv · 1405.1772

Separably closed fields and contractive Ore modules

Luc Bélair·Françoise Point

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Abstract

We consider valued fields with a distinguished contractive map as valued modules over the Ore ring of difference operators. We prove quantifier elimination for separably closed valued fields with the Frobenius map, in the pure module language augmented with functions yielding components for a p-basis and a chain of subgroups indexed by the valuation group.

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Luc Bélair, Françoise Point. 2014-05-07. Separably closed fields and contractive Ore modules. https://arxiv.org/abs/1405.1772

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