Generic structures and simple theories.Z. Chatzidakis &A. Pillay -1998 -Annals of Pure and Applied Logic 95 (1-3):71-92.detailsWe study structures equipped with generic predicates and/or automorphisms, and show that in many cases we obtain simple theories. We also show that a bounded PAC field is simple. 1998 Published by Elsevier Science B.V. All rights reserved.
Amalgamation of types in pseudo-algebraically closed fields and applications.Zoé Chatzidakis -2019 -Journal of Mathematical Logic 19 (2):1950006.detailsThis paper studies unbounded pseudo-algebraically closed 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.
Model theory of finite fields and pseudo-finite fields.Zoé Chatzidakis -1997 -Annals of Pure and Applied Logic 88 (2-3):95-108.detailsWe give a survey of results obtained in the model theory of finite and pseudo-finite fields.
A Note on the Non-Existence of Prime Models of Theories of Pseudo-Finite Fields.Zoé Chatzidakis -2025 -Journal of Symbolic Logic 90 (1):52-67.detailsWe show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo-finite fields over A. Assuming GCH, we extend this result to $\kappa $ -prime models, for $\kappa $ an uncountable cardinal or $\aleph _\varepsilon $.
Introduction.Zoé Chatzidakis,David Marker,Amador Martin-Pizarro,Rahim Moosa &Sergei Starchenko -2013 -Notre Dame Journal of Formal Logic 54 (3-4):277-277.detailsZoé Chatzidakis , David Marker , Amador Martin-Pizarro , Rahim Moosa , Sergei Starchenko Source: Notre Dame J. Formal Logic, Volume 54, Number 3-4, 277--277.