A note on the non-existence of prime models of theories of pseudo-finite fields

Zoé Chatzidakis (1)

1 DMA - Département de Mathématiques et Applications - ENS Paris

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 \kappa-prime models, for \kappa a regular uncountable cardinal or \aleph_\epsilon.

Domaines: Logique [math.LO]

Zoé Chatzidakis. A note on the non-existence of prime models of theories of pseudo-finite fields. 2020. ⟨hal-02612605⟩