Finite undecidability in PAC and PRC fields
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Publication:6584954
DOI10.1016/J.APAL.2024.103465MaRDI QIDQ6584954
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Publication date: 8 August 2024
Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)
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Decidability and field theory (12L05) Decidability of theories and sets of sentences (03B25) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Model theory of fields (12L12)
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- On a question of Abraham Robinson
- Pseudo real closed fields, pseudo \(p\)-adically closed fields and \(\mathrm{NTP}_{2}\)
- Superrosy fields and valuations
- Decidable theories of pseudo-\(p\)-adic closed fields
- Cohomology theory of Artin-Schreier structures
- Einige unentscheidbare Körpertheorien
- The undecidability of pseudo real closed fields
- The algebraic nature of the elementary theory of PRC fields
- Undecidability of regularly closed fields
- On the cohomological dimension of Artin-Schreier structures
- Definability and decidability problems in number theory. Abstracts from the workshop held October 23--29, 2016
- Undecidability of pseudo \(p\)-adically closed fields
- Definability and decidability in infinite algebraic extensions
- Uniform first-order definitions in finitely generated fields
- THE ELEMENTARY THEORY OF LARGE FIELDS OF TOTALLY -ADIC NUMBERS
- The Undecidability of Algebraic Rings and Fields
- Torsion elements and centralizers in free products of profinite groups.
- Field Arithmetic
- Two theorems on regularly r-closed fields.
- The absolute Galois group of a pseudo p-adically closed field.
- Undecidability and Definability for the Theory of Global Fields
- Simple unstable theories
- Properties of forking in ω-free pseudo-algebraically closed fields
- Characterizing rosy theories
- Groups and fields with $\operatorname {NTP}_{2}$
- Some theorems on definability and decidability
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