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Positive elimination in valued fields
Authors:Alexander Prestel
Institution:1.Universit?t Konstanz, Fachbereich Mathematik und Statistik,Konstanz,Germany
Abstract:Let K be an algebraically closed field with a valuation ring $$\mathcal{O}$$ or a real closed field with a convex valuation ring $$\mathcal{O}$$. We show that the projection of a basic (see “Introduction”) subset of $$K^n \times \mathcal{O}^m$$ to K n is again basic.
Keywords:12J10  14A25
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