The theory of closed ordered differential fields with m commuting derivations |
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Authors: | Cédric Rivière |
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Institution: | Université Denis-Diderot Paris 7, équipe de logique mathématique, 2, place Jussieu, 75251 Paris cedex 05, France |
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Abstract: | We generalize the work of M. Singer (1978) on the theory of closed ordered differential fields to the case of m-ODF, the theory of ordered fields equipped with m commuting derivations. We give an algebraic axiomatization of the model completion (denoted by m-CODF) of this theory and we can immediately deduce that m-CODF has quantifier elimination in the natural language of ordered Δ-rings. To cite this article: C. Rivière, C. R. Acad. Sci. Paris, Ser. I 343 (2006). |
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