Certain ideals for which \(I_ 1 \dots I_ g=I_ 1\cap \dots \cap I_ g\)

DOI10.1016/0022-4049(90)90123-YzbMath0719.13002MaRDI QIDQ2639914

Louis J. jun. Ratliff

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Noetherianassociated prime divisor

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

A note on the Alexander dual of path ideals of rooted trees, On the Stable Set of Associated Prime Ideals of Monomial Ideals and Square-Free Monomial Ideals, On the Alexander dual of the path ideals of rooted and unrooted trees

Cites Work

• Unnamed Item
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• Asymptotic sequences and Rees rings
• Notes on projectively related ideals and residual division
• Asymptotic sequences
• Five notes on asymptotic prime divisors
• Essential sequences and Rees rings
• On the prime divisors of IJ when I is integrally closed
• Quintasymptotic primes and four results of Schenzel
• Prime divisors and divisorial ideals
• Theory of \(x\)-ideals
• Asymptotic prime divisors and going down
• On asymptotic prime divisors
• U–essential prime divisors and sequences over an ideal
• Δ-Closures of Ideals and Rings
• Note on coefficient fields of complete local rings