Sequentially Cohen-Macaulayness versus parametric decomposition of powers of parameter ideals

DOI10.1216/JCA-2010-2-1-37zbMath1237.13046OpenAlexW2043338858MaRDI QIDQ412484

Hideto Sakurai, Yosuke Horiuchi, Shiro Goto

Publication date: 4 May 2012

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1269437254

zbMATH Keywords

dimension filtrationassociated graded ring and modulegood system of parameterssequentially Cohen-Macaulay ring module

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (5)

On the notion of sequentially Cohen-Macaulay modules ⋮ Topics on sequentially Cohen-Macaulay modules ⋮ The homology of parameter ideals ⋮ Variation of the first Hilbert coefficients of parameters with a common integral closure ⋮ On the sequential polynomial type of modules

Cites Work

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• Approximately Cohen-Macaulay rings
• On graded rings. II: \(\mathbb{Z}\)-graded rings
• On the parametric decomposition of powers of parameter ideals in a Noetherian local ring
• On sequentially Cohen-Macaulay modules
• Parametric decomposition of powers of parameter ideals and sequentially Cohen-Macaulay modules
• Parametric decomposition of powers of ideals versus regularity of sequences

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