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Lifting up an infinite chain of prime ideals to a valuation ring

Authors:	Byung Gyun Kang Dong Yeol Oh

Institution:	Department of Mathematics, Pohang University of Science & Technology, Pohang, 790--784, Korea ; Department of Mathematics, Pohang University of Science & Technology, Pohang, 790--784, Korea

Abstract:	We prove that for an arbitrary chain $\{P_\alpha\}$ of prime ideals in an integral domain, there exists a valuation domain which has a chain of prime ideals $\{Q_\alpha\}$ lying over $\{P_\alpha\}$ .

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