The Structure of some Right Noetherian Rings with Krull Dimension One

DOI10.2307/2160102zbMath0786.16012OpenAlexW4252764351MaRDI QIDQ4201586

C. L. Wangneo

Publication date: 1 September 1993

Full work available at URL: https://doi.org/10.2307/2160102

zbMATH Keywords

idempotentprime ringdirect sumprime radicalassociated primeright Krull dimensionright noetherian ringfinitely generated, faithful, critical moduleright artinian quotient ring

Mathematics Subject Classification ID

Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ore rings, multiplicative sets, Ore localization (16U20) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

Cites Work

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• Weak Ideal Invariance and Localisation
• Primary decomposition in right noetherian rings
• Krull dimension
• Ideal invariance and Artinian quotient rings

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