Five notes on asymptotic prime divisors

DOI10.1007/BF01214755zbMath0584.13005OpenAlexW2911926293MaRDI QIDQ1070286

Louis J. jun. Ratliff

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173650

zbMATH Keywords

complete intersectionradical idealNoetherian ringgoing-downasymptotic prime divisoressential prime divisor

Mathematics Subject Classification ID

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

Related Items (10)

On linearly equivalent ideal topologies ⋮ On the relevant transform and the relevant component of an ideal ⋮ Certain ideals for which \(I_ 1 \dots I_ g=I_ 1\cap \dots \cap I_ g\) ⋮ Analytic spread and non-vanishing of asymptotic depth ⋮ Two notes on ideal-transforms ⋮ An effective avoidance principle for a class of ideals ⋮ On the grade and cograde of a Noetherian filtration ⋮ Essential prime divisors and projectively equivalent ideals ⋮ Three Theorems on Form Rings ⋮ Two Notes on Imbedded Prime Divisors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A criterion for complete intersections to be self-radical
• Integrally closed ideals and asymptotic prime divisors
• Correction to: ``A criterion for complete intersections to be self-radical
• Asymptotic prime divisors
• On the asymptotic cograde of an ideal
• Asymptotic sequences and Rees rings
• Asymptotic prime divisors and integral extension rings
• Essential sequences
• Three notes on \(R^{(1)}\)
• Finite transforms of a Noetherian ring
• On linearly equivalent ideal topologies
• Asymptotic prime divisors and going down
• On asymptotic prime divisors
• A note on form rings and ideals
• Integrally closed ideals, prime sequences, and macaulay local rings
• Asymptotic Stability of Ass(M/I n M)
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
• On prime divisors of \(I^n\), \(n\) large

This page was built for publication: Five notes on asymptotic prime divisors