3 papers
math.LO2025
A note on the non-existence of prime models of theories of pseudo-finite fields
Zoé Chatzidakis
We 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 generalise this result to κ-prime model…
math.LO2025
Simplicity of the automorphism group of fields with operators
Thomas Blossier, Zoé Chatzidakis, Charlotte Hardouin +1
We adapt a proof of Lascar in order to show the simplicity of the group of automorphisms fixing pointwise all non-generic elements for a class of uncountable models of suitable the…
math.LO2024
Revisiting virtual difference ideals
Zoé Chatzidakis, Ehud Hrushovski
The main idea of [4] was that structures built from periodic prime ideals have better properties from the usual ones built from invariant ideals; but unable to work with periodic i…