Undecidability of ℚ⁽²⁾

DOI10.1090/proc/14849zbMath1455.11166arXiv1809.04670OpenAlexW2890319704MaRDI QIDQ5212403

Javier Utreras, Carlos Azarel Martínez-Ranero, Carlos R. Videla

Publication date: 29 January 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.04670

zbMATH Keywords

undecidabilityinfinite algebraic extensions

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Quadratic extensions (11R11) Decidability of theories and sets of sentences (03B25)

Related Items (4)

Northcott numbers for the house and the Weil height ⋮ Definability and decidability for rings of integers in totally imaginary fields ⋮ On the Northcott property for infinite extensions ⋮ Undecidability, unit groups, and some totally imaginary infinite extensions of ℚ

Cites Work

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• Definability of the ring of integers in pro-\(p\) Galois extensions of number fields
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• A note on heights in certain infinite extensions of \(\mathbb Q\)
• A note on the Northcott property and undecidability
• Definability of the ring of integers in some infinite algebraic extensions of the rationals
• Arithmetic over the rings of all algebraic integers.
• Elimination theory for the ring of algebraic integers.
• Undecidability in Number Theory

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