Principal ideal properties of \(R\)-sequences and asymptotic sequences

DOI10.1016/0022-4049(92)90095-WzbMath0762.13001OpenAlexW2039868649MaRDI QIDQ1192257

Louis J. jun. Ratliff

Publication date: 27 September 1992

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(92)90095-w

zbMATH Keywords

heightprime idealCohen-MacaulayNoetherian ringRees ringasymptotic sequence\(R\)-sequenceassasin

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) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Cites Work

• Unnamed Item
• Asymptotic prime divisors
• On the kernel of a monadic transformation
• Flatness, LCM-stability, and related module-theoretic properties
• Notes on ideal covers and associated primes
• On the Ideal Equation I(B ∩ C) = IB∩IC
• A note on form rings and ideals
• Δ-Closures of Ideals and Rings

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