2 papers
math.LO2026
PAC fields and difference fields with generic automorphisms
Özlem Beyarslan, Piotr Kowalski
We study the existence of model companions after adjoining an automorphism to field theories in two complementary settings. For bounded PAC fields of characteristic zero containing…
math.LO2009
On algebraic closure in pseudofinite fields
Özlem Beyarslan, Ehud Hrushovski
We study the automorphism group of the algebraic closure of a substructure A of a pseudo-finite field F. We show that the behavior of this group, even when A is large, depends esse…