Amalgamation of types in pseudo-algebraically closed fields and applications

DOI10.1142/S0219061319500065zbMath1477.03148arXiv1704.08132OpenAlexW2963889157WikidataQ128510919 ScholiaQ128510919MaRDI QIDQ4973026

Zoé Chatzidakis

Publication date: 29 November 2019

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08132

zbMATH Keywords

imaginariespseudo-algebraically closed fields

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (8)

On the antichain tree property ⋮ THE EMBEDDING PROPERTY FOR SORTED PROFINITE GROUPS ⋮ Co-theory of sorted profinite groups for PAC structures ⋮ Definability and decidability for rings of integers in totally imaginary fields ⋮ Nondefinability of rings of integers in most algebraic fields ⋮ Quantifier elimination on some pseudo-algebraically closed valued fields ⋮ Éz fields ⋮ ELEMENTARY EQUIVALENCE THEOREM FOR PAC STRUCTURES

Cites Work

• On the automorphism groups of finite covers
• Undecidability of regularly closed fields
• Generic structures and simple theories
• Groups definable in local fields and pseudo-finite fields
• Simple theories
• Model theory of profinite groups having the Iwasawa property
• A course in model theory. An introduction to contemporary mathematical logic. Transl. from the French by Moses Klein
• The elementary theory of finite fields
• On model-theoretic tree properties
• Field Arithmetic
• Idéaux et types sur les corps séparablement clos
• Decidability and undecidability theorems for PAC-fields
• Properties of forking in ω-free pseudo-algebraically closed fields
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