A note on the non-existence of prime models of theories of pseudo-finite fields
arXiv:2004.05593
Abstract
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 models, for κa regular uncountable cardinal or \aleph_ε.
This is the last version edited by Zoé. It was published (with minor editing changes) in the Journal of Symbolic Logic, see https://doi.org/10.1017/jsl.2025.18