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Preprint Number 1757

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1757. Zoé Chatzidakis
A note on the non-existence of prime models of theories of pseudo-finite fields
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Submission date: 12 April 2020

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 κ a regular uncountable cardinal or ℵ_ε.

Mathematics Subject Classification: 03C50, 03C60, 12L12, Secondary 12E20

Keywords and phrases:

Full text arXiv 2004.05593: pdf, ps.


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