Denseness results in the theory of algebraic fields

Sylvy Anscombe; Philip Dittmann; Arno Fehm

doi:10.1016/j.apal.2021.102973

Journal Articles Annals of Pure and Applied Logic Year : 2019

Denseness results in the theory of algebraic fields

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Sylvy Anscombe

Function : Author

Institut de Mathématiques de Jussieu - Paris Rive Gauche

Philip Dittmann

Function : Author

Technische Universität Dresden = Dresden University of Technology

Arno Fehm

Function : Author

Technische Universität Dresden = Dresden University of Technology

Abstract

We study when the property that a field is dense in its real and p-adic closures is elementary in the language of rings and deduce that all models of the theory of algebraic fields have this property.

Keywords

03C60 12L12 12J12 12J15 Model theory Valuation Henselian Real closure p-adic closure Algebraic fields

Domains

Mathematics [math]

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Anscombe et al. - 2021 - Denseness results in the theory of algebraic field.pdf (303.96 Ko)

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Submitted on : Monday, October 11, 2021-3:52:57 PM

Last modification on : Saturday, April 27, 2024-3:11:16 AM

Long-term archiving on: Wednesday, January 12, 2022-8:14:55 PM

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hal-03373671 , version 1 (11-10-2021)

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HAL Id : hal-03373671 , version 1
DOI : 10.1016/j.apal.2021.102973

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Sylvy Anscombe, Philip Dittmann, Arno Fehm. Denseness results in the theory of algebraic fields. Annals of Pure and Applied Logic, 2019, 172 (8), pp.102973. ⟨10.1016/j.apal.2021.102973⟩. ⟨hal-03373671⟩

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Denseness results in the theory of algebraic fields

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