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On an example of J. Bourgain on closures of finitely generated ideals

✍ Scribed by Raymond Mortini

Publisher
Springer-Verlag
Year
1997
Tongue
French
Weight
101 KB
Volume
224
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES

On finite generation of powers of ideals
On finite generation of powers of ideals
✍ Moshe Roitman πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 132 KB

Following a joint work with Gilmer and Heinzer, we prove that if M is a maximal ideal of an integral domain R such that some power of M is ΓΏnitely generated, then M is ΓΏnitely generated under each of the assumptions below: (a) R is coherent. (b) R is seminormal and M is of height 2. (c) R = K[X ; S]