Sporadic and Irrelevant Prime Divisors

DOI10.2307/2000795zbMath0628.13003OpenAlexW4241371310MaRDI QIDQ3764241

Louis J. jun. Ratliff, Stephen McAdam

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000795

zbMATH Keywords

Rees ringregular ideal of a Noetherian ringsporadic prime divisors

Mathematics Subject Classification ID

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

Related Items (4)

Superficial ideals for monomial ideals ⋮ Irrelevant prime divisors ⋮ Persistence property for some classes of monomial ideals of a polynomial ring ⋮ A NEW PROOF OF THE PERSISTENCE PROPERTY FOR IDEALS IN DEDEKIND RINGS AND PR¨UFER DOMAINS

Cites Work

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• Asymptotic prime divisors
• On the relevant transform and the relevant component of an ideal
• Strongly superficial elements
• U–essential prime divisors and sequences over an ideal
• On equimultiplicity
• Asymptotic Stability of Ass(M/I n M)
• On prime divisors of \(I^n\), \(n\) large

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