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math.LO2020★ 1 cited
A note on the non-existence of prime models of theories of pseudo-finite fields
Zoé Chatzidakis
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…
math.LO2020
Remarks around the non-existence of difference-closure
Zoé Chatzidakis
This paper shows that in general, difference fields do not have a difference closure. However, we introduce a stronger notion of closure (kappa-closure), and show that every algebr…