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Integral Ring Extensions and Prime Ideals of Infinite Rank

William Heinzer
Proceedings of the American Mathematical Society
Vol. 28, No. 2 (May, 1971), pp. 344-346
DOI: 10.2307/2037965
Stable URL: http://www.jstor.org/stable/2037965
Page Count: 3
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Integral Ring Extensions and Prime Ideals of Infinite Rank
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Abstract

An example is constructed showing that for an integral ring extension $R \subset T$, and a prime ideal $P$ of $R$ having infinite rank, it can happen that in $T$ each prime ideal lying over $P$ has finite rank.

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