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arXiv · 2004.05593

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

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

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Zoé Chatzidakis. 2020-04-12. A note on the non-existence of prime models of theories of pseudo-finite fields. https://arxiv.org/abs/2004.05593

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