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September 2002 The theory of modules of separably closed fields. I
Pilar Dellunde, Françoise Delon, Françoise Point
J. Symbolic Logic 67(3): 997-1015 (September 2002). DOI: 10.2178/jsl/1190150144

Abstract

We consider separably closed fields of characteristic $p > 0$ and fixed imperfection degree as modules over a skew polynomial ring. We axiomatize the corresponding theory and we show that it is complete and that it admits quantifier elimination in the usual module language augmented with additive functions which are the analog of the $p$-component functions.

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Pilar Dellunde. Françoise Delon. Françoise Point. "The theory of modules of separably closed fields. I." J. Symbolic Logic 67 (3) 997 - 1015, September 2002. https://doi.org/10.2178/jsl/1190150144

Information

Published: September 2002
First available in Project Euclid: 18 September 2007

zbMATH: 1013.03042
MathSciNet: MR1925953
Digital Object Identifier: 10.2178/jsl/1190150144

Subjects:
Primary: 03C10
Secondary: 03C60 , 16B70

Rights: Copyright © 2002 Association for Symbolic Logic

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Vol.67 • No. 3 • September 2002
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