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arXiv:2004.05593 [math.LO]AbstractReferencesReviewsResources

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

Zoé Chatzidakis

Published 2020-04-12Version 1

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.

Categories: math.LO
Subjects: 03C50, 03C60, 12L12, 12E20
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