Asymptotic sequences and Rees rings

DOI10.1016/0021-8693(84)90235-7zbMath0535.13002OpenAlexW2022961293MaRDI QIDQ790886

Louis J. jun. Ratliff

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90235-7

zbMATH Keywords

analytic spreadlocal ringNoetherian ringquasi-unmixed ringRees ringasymptotic gradeasymptotic sequence over an ideal

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Local rings and semilocal rings (13H99)

Related Items (7)

Essential sequences and Rees rings ⋮ Certain ideals for which \(I_ 1 \dots I_ g=I_ 1\cap \dots \cap I_ g\) ⋮ On the asymptotic sequences over an ideal ⋮ On the grade and cograde of a Noetherian filtration ⋮ Asymptotic prime divisors and integral extension rings ⋮ Monoidal extensions of a locally quasi-unmixed UFD ⋮ Five notes on asymptotic prime divisors

Cites Work

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• Asymptotic sequences
• On asymptotic prime divisors
• Independent elements and asymptotic sequences
• On Rees localities and \(H_ i\)-local rings
• Note on asymptotic prime divisors and symbolic powers of primary ideals
• Locally quasi-unmixed Noetherian rings and ideals of the principal class
• A note on form rings and ideals
• A Note on Asymptotic Prime Sequences
• Rings associated with ideals and analytic spread
• On Quasi-Unmixed Semi-Local Rings and the Altitude Formula
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
• Note on coefficient fields of complete local rings

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