On finite generation of powers of ideals
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Moshe Roitman
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Article
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2001
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Elsevier Science
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English
β 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]