Pseudodefinite Fields, Procyclic Fields and Model-CompletionQuantitative Health Sciences Publications and Presentations
UMMS AffiliationDepartment of Quantitative Health Sciences
SubjectsMathematical Concepts; Models, Theoretical
AbstractIn 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.
SourceKiefe 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
Citation InformationAllan Adler and Catarina I. Kiefe. "Pseudodefinite Fields, Procyclic Fields and Model-Completion" Vol. 62 Iss. 2 (1976)
Available at: http://works.bepress.com/catarina_kiefe/5/