Essential sequences over an ideal and essential cograde

DOI10.1007/BF01159183zbMath0534.13001OpenAlexW2028805873MaRDI QIDQ790181

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/173546

zbMATH Keywords

Noetherian ringessential cogradeessential prime divisoressential sequence over ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

Quintessential-modulated ideals ⋮ On the grade and cograde of a Noetherian filtration ⋮ Grade functions and two classical theorems ⋮ Grade Schemes and Grade Functions ⋮ U–essential prime divisors and sequences over an ideal

Cites Work

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• Asymptotic Stability of Ass(M/I n M)
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
• Fibres formelles d'un anneau local noethérien