Grade functions and two classical theorems

DOI10.1016/0022-4049(85)90040-4zbMath0557.13002OpenAlexW2082842567MaRDI QIDQ762219

Louis J. jun. Ratliff

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90040-4

zbMATH Keywords

Cohen-MacaulayNoetherian ringA-gradeA-primesA-sequenceasymptotic sequencesessential sequencesgrade functionsR-sequencessubset of Spec

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

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• Asymptotic prime divisors
• Essential sequences over an ideal and essential cograde
• On the asymptotic cograde of an ideal
• Asymptotic sequences
• Essential sequences
• On asymptotic prime divisors
• Five theorems on Macaulay rings
• A Note on General Ideals
• Asymptotic Stability of Ass(M/I n M)

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