Integral Closure of Rings with Zero Divisors
β Scribed by B.G. Kang
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 308 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ 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.
π SIMILAR VOLUMES
For each commutative ring R we associate a simple graph β« R . We investigate the interplay between the ring-theoretic properties of R and the graph-theo-Ε½ . retic properties of β« R .
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 .