SU\G(𝔸)/K·U

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Pseudofinite fields, procyclic fields and model-completion

Pseudofinite fields, procyclic fields and model-completion

In this paper, it is shown that the theory of pseudofinite fields is, with respect to a suitable language, the model completion of the theory of procyclic fields.Also, procyclic fields are characterized as the class of relatively algebraically closed subfields of pseudofinite fields.