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Finitely generated ideals of the ring of integer-valued polynomials

โœ Scribed by Robert Gilmer; William W Smith


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
846 KB
Volume
81
Category
Article
ISSN
0021-8693

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Integral Closure of a Ring Whose Regular
โœ Gyu Whan Chang; Byung Gyun Kang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

We show that if R is a commutative ring with identity whose regular ideals are finitely generated, then the integral closure of R is a Krull ring. This is a generalization of the MoriแސNagata theorem that the integral closure of a Noethe-ลฝ .