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arXiv · 1803.09821

On valuation independence and defectless extensions of valued fields

Anna Blaszczok·Pablo Cubides Kovacsics·Franz-Viktor Kuhlmann
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Abstract

In this article we further develop the theory of valuation independence and study its relation with classical notions in valuation theory such as immediate and defectless extensions. We use this general theory to settle two open questions regarding vector space defectless extensions of valued fields. Additionally, we provide a characterization of such extensions within various classes of valued fields, extending results of Fran\c{c}oise Delon.

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Anna Blaszczok, Pablo Cubides Kovacsics, Franz-Viktor Kuhlmann. 2018-03-26. On valuation independence and defectless extensions of valued fields. https://arxiv.org/abs/1803.09821

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