Pseudodefinite Fields, Procyclic Fields and Model-Completion

Citation data:

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

Publication Year:
1976
Usage 109
Downloads 95
Abstract Views 14
Repository URL:
https://escholarship.umassmed.edu/qhs_pp/7
Author(s):
Adler, Allan; Kiefe, Catarina I.
Tags:
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.