Department of Quantitative Health Sciences
Mathematical Concepts; Models, Theoretical
Biostatistics | Epidemiology | Health Services Research | Mathematics
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.
Kiefe C and Adler A. Pseudofinite fields, procyclic fields and model-completion. Pacific Journal of Mathematics. 62:305-309, 1976. Link to article on publisher's website
Pacific Journal of Mathematics
Adler, Allan and Kiefe, Catarina I., "Pseudodefinite Fields, Procyclic Fields and Model-Completion" (1976). Quantitative Health Sciences Publications and Presentations. 7.