Integral Closure of a Ring Whose Regular
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Gyu Whan Chang; Byung Gyun Kang
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Article
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2002
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Elsevier Science
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English
β 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 MoriαNagata theorem that the integral closure of a Noethe-Ε½ .