Parametric decomposition of powers of parameter ideals and sequentially Cohen-Macaulay modules

DOI10.1090/S0002-9939-08-09437-9zbMath1161.13014arXivmath/0701730OpenAlexW2016476636MaRDI QIDQ3600578

Hoang Le Truong, Nguyen Tu Cuong

Publication date: 5 February 2009

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

Full work available at URL: https://arxiv.org/abs/math/0701730

zbMATH Keywords

sequentially Cohen-Macaulay moduledimension filtrationgood system of parametersParametric decomposition

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local rings and semilocal rings (13H99)

Related Items (7)

On the notion of sequentially Cohen-Macaulay modules ⋮ On Hilbert coefficients and sequentially generalized Cohen–Macaulay modules ⋮ Sequentially Cohen-Macaulayness versus parametric decomposition of powers of parameter ideals ⋮ Hilbert coefficients and sequentially Cohen-Macaulay modules ⋮ On adjusted Hilbert-Samuel functions ⋮ Uniform annihilators of systems of parameters ⋮ Uniform bounds in sequentially generalized Cohen-Macaulay modules

Cites Work

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• Approximately Cohen-Macaulay rings
• Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules.
• On the parametric decomposition of powers of parameter ideals in a Noetherian local ring
• Combinatorics and commutative algebra.
• On sequentially Cohen-Macaulay modules
• Parametric decomposition of powers of ideals versus regularity of sequences

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