Anwendung von Ideal-Transformationen

DOI10.1007/BF01165544zbMath0459.13004MaRDI QIDQ1151933

Karl-Heinz Kiyek

Publication date: 1981

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154779

zbMATH Keywords

local ringNoetherian ringArtinian moduleideal transformcompatible ring extensiontheorem of Mori-Nagata

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Extension theory of commutative rings (13B02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items

Two notes on ideal-transforms

Cites Work

• Note on integral closures of a Noetherian integral domain
• Two theorems on the prime divisors of zero in completions of local domains
• On ideal transforms of Noetherian rings. I
• 1-dimensional Cohen-Macaulay rings
• Valuation semigroups and closed components
• Maximal Ideal Transforms of Noetherian Rings
• A Characterization of Prime Noetherian P.I. Rings and a Theorem of Mori- Nagata
• Overrings of Commutative Rings. II. Integrally Closed Overrings
• Valuations on a Commutative Ring
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
• Prüfer rings with zero divisors.
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