Irreducible Ideals of Finitely Generated Commutative Monoids
✍ Scribed by J.C Rosales; P.A Garcı́a-Sánchez; J.I Garcı́a-Garcı́a
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 134 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
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 .
We present an algorithm that computes an unmixed-dimensional decomposition of a finitely generated perfect differential ideal I. Each I i in the decomposition I = I 1 ∩ • • • ∩ I k is given by its characteristic set. This decomposition is a generalization of the differential case of Kalkbrener's dec