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FIELDS WITH SEVERAL COMMUTING DERIVATIONS

Published online by Cambridge University Press:  17 April 2014

DAVID PIERCE
DAVID PIERCE*
Affiliation:
MATHEMATICS DEPARTMENT, MIMAR SINAN FINE ARTS UNIVERSITY, ISTANBUL, TURKEYE-mail:dpierce@msgsu.edu.tr, URL:http://mat.msgsu.edu.tr/∼dpierce
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Abstract

For every natural number m, the existentially closed models of the theory of fields with m commuting derivations can be given a first-order geometric characterization in several ways. In particular, the theory of these differential fields has a model-companion. The axioms are that certain differential varieties determined by certain ordinary varieties are nonempty. There is no restriction on the characteristic of the underlying field.

Keywords

3C10 (03C60, 12H05)Model-companionmodel-completionexistentially closed modelfield with several commuting derivationsderivative
Type
Articles
Information
The Journal of Symbolic Logic , Volume 79 , Issue 1 , March 2014 , pp. 1 - 19
Copyright
Copyright © Association for Symbolic Logic 2014 

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