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Notes on the stability of separably closed fields1

Published online by Cambridge University Press:  12 March 2014

Carol Wood
Carol Wood*
Affiliation:
Wesleyan University, Middletown, CT 06457
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Abstract

The stability of each of the theories of separably closed fields is proved, in the manner of Shelah's proof of the corresponding result for differentially closed fields. These are at present the only known stable but not superstable theories of fields. We indicate in §3 how each of the theories of separably closed fields can be associated with a model complete theory in the language of differential algebra. We assume familiarity with some basic facts about model completeness [4], stability [7], separably closed fields [2] or [3], and (for §3 only) differential fields [8].

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 44 , Issue 3 , September 1979 , pp. 412 - 416
Copyright
Copyright © Association for Symbolic Logic 1979

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Footnotes

1

Research supported in part by N.S.F. Grant MCS75-08241.

References

REFERENCES

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