Lifting up an infinite chain of prime ideals to a valuation ring
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- by Byung Gyun Kang and Dong Yeol Oh PDF
- Proc. Amer. Math. Soc. 126 (1998), 645-646 Request permission
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 $\{P_\alpha \}$.References
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Additional Information
- Byung Gyun Kang
- Affiliation: Department of Mathematics, Pohang University of Science & Technology, Pohang, 790–784, Korea
- Email: bgkang@euclid.postech.ac.kr
- Dong Yeol Oh
- Affiliation: Department of Mathematics, Pohang University of Science & Technology, Pohang, 790–784, Korea
- Received by editor(s): May 16, 1996
- Received by editor(s) in revised form: July 28, 1996
- Additional Notes: This research was supported by the research grant BSRI-95-1431
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 645-646
- MSC (1991): Primary 13A18; Secondary 13B02
- DOI: https://doi.org/10.1090/S0002-9939-98-04063-5
- MathSciNet review: 1415329