✦ LIBER ✦

Integral Closure of a Ring Whose Regular Ideals Are Finitely Generated

✍ Scribed by Gyu Whan Chang; Byung Gyun Kang

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 94 KB
Volume: 251
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8596

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✦ Synopsis

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 .