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Pseudodefinite Fields, Procyclic Fields and Model-Completion

Adler, Allan
; 
Kiefe, Catarina I.
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Adler, Allan
Kiefe, Catarina I.
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Faculty Advisor
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UMass Chan Affiliations
Department of Quantitative Health Sciences
Document Type
Journal Article
Publication Date
1976-01-01
Keywords
Mathematical Concepts
 Models, Theoretical
 Biostatistics
 Epidemiology
 Health Services Research
 Mathematics
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Population and Quantitative Health Sciences Publications
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Abstract

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.

Source

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

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https://hdl.handle.net/20.500.14038/47567
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