Note on analytic spread and asymptotic sequences

DOI10.1017/S030500410006031XzbMath0509.13022MaRDI QIDQ4748246

Louis J. jun. Ratliff

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

analytic spreadlocal ringflat extensionaltitude formulaquasi-unmixed ringRees ringNoetherianasymptotic sequence

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99)

Related Items (5)

Two notes on homogeneous prime ideals in graded Noetherian rings. ⋮ The Analytic Spread of Monomial Ideals ⋮ On the grade and cograde of a Noetherian filtration ⋮ Asymptotic Sequences over Ideals and Projectively Equivalent Ideals with Respect to Modules ⋮ On the asymptotic cograde of an ideal

Cites Work

• Unnamed Item
• The asymptotic Ass
• On the prime divisors of zero in form rings
• Locally quasi-unmixed Noetherian rings and ideals of the principal class
• On Quasi-Unmixed Semi-Local Rings and the Altitude Formula
• Some Results on the Asymptotic Completion of an Ideal
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)

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