Integral ring extensions and prime ideals of infinite rank
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- by William Heinzer PDF
- Proc. Amer. Math. Soc. 28 (1971), 344-346 Request permission
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.References
- N. Bourbaki, Éléments de mathématique. Fasc. XXX. Algèbre commutative. Chapitre 5: Entiers. Chapitre 6: Valuations, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1308, Hermann, Paris, 1964 (French). MR 0194450
- Robert W. Gilmer, Multiplicative ideal theory, Queen’s Papers in Pure and Applied Mathematics, No. 12, Queen’s University, Kingston, Ont., 1968. MR 0229624
- Irving Kaplansky, Commutative rings, Allyn and Bacon, Inc., Boston, Mass., 1970. MR 0254021
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 344-346
- MSC: Primary 13.80
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276216-6
- MathSciNet review: 0276216