Amalgamation of types in pseudo-algebraically closed fields and applications-Reference-Cited by-同舟云学术

Amalgamation of types in pseudo-algebraically closed fields and applications

Published:2019-10-02 Issue:02 Volume:19 Page:1950006
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

Chatzidakis Zoé¹

Affiliation:

1. Département de Mathématiques et Applications (UMR 8553), Ecole Normale Supérieure, CNRS, PSL Research University, 45 Rue d’Ulm, F-75230 Paris Cedex 05, France

Abstract

This paper studies unbounded pseudo-algebraically closed (PAC) fields and shows an amalgamation result for types over algebraically closed sets. It discusses various applications, for instance that omega-free PAC fields have the property NSOP3. It also contains a description of imaginaries in PAC fields.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061319500065

Reference16 articles.

1. The Elementary Theory of Finite Fields

2. Model theory of profinite groups having the Iwasawa property

3. Simplicity and Independence for Pseudo-Algebraically Closed Fields

4. Properties of forking in ω-free pseudo-algebraically closed fields

5. Generic structures and simple theories

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