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Pré-Publication, Document De Travail Année : 2017

On Valuation Fans and the Real Holomorphy Ring Dedicated to Professor Francisco Miraglia

Résumé

In this survey we recall basic facts in Real Algebra, and study valuation fans, a refined notion of fans. We explain how valuation fans are involved in the theory of residually real-closed henselian fields. Then we deal with other mathematical notions, such as R − places and the real holomorphy ring which are also linked to valuation fans. Finally we consider abstract spaces of orderings and Marshall's problem, recall some results, and present the complete real spectrum of a ring.
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Dates et versions

hal-04001043 , version 1 (22-02-2023)

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  • HAL Id : hal-04001043 , version 1

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Danielle Gondard-Cozette. On Valuation Fans and the Real Holomorphy Ring Dedicated to Professor Francisco Miraglia. 2017. ⟨hal-04001043⟩
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