Maximum number of independent elements and dimension of prime divisors in completions of local rings

DOI10.1016/0021-8693(85)90168-1zbMath0596.13008OpenAlexW1976784084MaRDI QIDQ1078253

Ngô Viêt Trung

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90168-1

zbMATH Keywords

maximal independent setnoetherianintegrally closed idealcompletion of local rings

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Local rings and semilocal rings (13H99)

Related Items (2)

Krull dimension and monomial orders ⋮ Independent elements, unmixedness theorems, and asymptotic prime divisors

Cites Work

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• Integrally closed ideals and asymptotic prime divisors
• Independent elements, integrally closed ideals, and quasiunmixedness
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• Elementi indipendenti rispetto ad un ideale
• Valuations Associated with a Local Ring (I)
• On the Chain Problem of Prime Ideals
• On the number of Elements Independent with respect to an Ideal
• A characterization of two-dimensional unmixed local rings
• Generalized Analytic Independence
• Remarks on regular sequences
• Asymptotic Stability of Ass(M/I n M)
• Remarks on generalized analytic independence
• Absolutely superficial sequences
• On prime divisors of \(I^n\), \(n\) large

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