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Prime model extensions for differential fields of characteristic p ≠ 0

Published online by Cambridge University Press:  12 March 2014

Carol Wood
Carol Wood*
Affiliation:
Yale University, New Haven, Connecticut 06520
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Extract

The main purpose of this paper is to show that there exists a prime differentially closed extension over each differentially perfect field. We do this in a roundabout manner by first giving new and simple axioms for the theory of differentially closed fields (in the manner of Blum [1] for characteristic 0) and by proving that this theory is the model completion of the theory of differentially perfect fields. This paper can be read independently from [10], where we gave more complicated axioms for the same theory (in the manner of Robinson [6] for characteristic 0).

I am indebted to E. R. Kolchin for answering many questions and for making the manuscript of his forthcoming book [2] available to me.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 39 , Issue 3 , September 1974 , pp. 469 - 477
Copyright
Copyright © Association for Symbolic Logic 1974

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References

REFERENCES

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