A Note on Asymptotic Prime Sequences

DOI10.2307/2043622zbMath0519.13018OpenAlexW4253268993MaRDI QIDQ3669545

Daniel Katz

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2043622

zbMATH Keywords

dimensionanalytic spreadquasi-unmixed Noetherian ringasymptotically prime elementasymptotic prime sequence

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99)

Related Items (7)

Prime divisors, asymptotic R-sequences and unmixed local rings ⋮ On the asymptotic sequences over an ideal ⋮ An effective avoidance principle for a class of ideals ⋮ Essential sequences over an ideal and essential cograde ⋮ On the asymptotic cograde of an ideal ⋮ Asymptotic sequences and Rees rings ⋮ Asymptotic prime divisors and integral extension rings

Cites Work

• Unnamed Item
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• Integrally closed ideals and asymptotic prime divisors
• Asymptotic sequences
• Locally quasi-unmixed Noetherian rings and ideals of the principal class
• Asymptotic Prime Divisors and Analytic Spreads
• Rings associated with ideals and analytic spread
• A theorem on integral closures of ideals in semi-local rings

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