Pseudodefinite Fields, Procyclic Fields and Model-Completion

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Department of Quantitative Health Sciences, Vol: 62, Issue: 2

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Adler, Allan; Kiefe, Catarina I.
Mathematical Concepts; Models, Theoretical; Biostatistics; Epidemiology; Health Services Research; Mathematics
article description
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.