Integral domains whose overrings are ideal transforms

✍ Scribed by J. W. Brewer; Robert Gilmer

Publisher: John Wiley and Sons
Year: 1971
Tongue: English
Weight: 725 KB
Volume: 51
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19710510117

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✍ Gyu Whan Chang; Byung Gyun Kang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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 Mori᎐Nagata theorem that the integral closure of a Noethe-Ž .