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Integral Closure of Rings with Zero Divisors

✍ Scribed by B.G. Kang


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
308 KB
Volume
162
Category
Article
ISSN
0021-8693

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✦ Synopsis


Among other things we prove that the integral closure of a Marot ring whose regular ideals are finitely generated is a Krull ring. I: 1993 Academic Press. Inc.


πŸ“œ SIMILAR VOLUMES


The Zero-Divisor Graph of a Commutative
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For each commutative ring R we associate a simple graph ⌫ R . We investigate the interplay between the ring-theoretic properties of R and the graph-theo-Ž . retic properties of ⌫ R .

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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 .