Index of reducibility of distinguished parameter ideals and sequentially Cohen-Macaulay modules

DOI10.1090/S0002-9939-2013-11515-7zbMath1284.13025MaRDI QIDQ2838955

Hoang Le Truong

Publication date: 4 July 2013

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

zbMATH Keywords

sequentially Cohen-Macaulay moduleindex of reducibilitydistinguished system of parametersdimension filtration,

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45)

Related Items (11)

The eventual index of reducibility of parameter ideals and the sequentially Cohen-Macaulay property ⋮ Reducibility index and sum-reducibility index ⋮ Index of reducibility of parameter ideals and Cohen-Macaulay rings ⋮ A uniform bound of reducibility index of good parameter ideals for certain class of modules ⋮ On the uniform bound of reducibility index of parameter ideals of idealizations ⋮ On the sectional genera and Cohen-Macaulay rings ⋮ The index of reducibility of powers of a standard parameter ideal ⋮ On the index of reducibility of parameter ideals: the stable and limit values ⋮ On Hilbert coefficients and sequentially Cohen-Macaulay rings ⋮ Irreducible multiplicity and Ulrich modules ⋮ On the index of reducibility in Noetherian modules

Cites Work

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• Index of reducibility of parameter ideals in a local ring
• Asymptotic behavior of parameter ideals in generalized Cohen-Macaulay modules
• Approximately Cohen-Macaulay rings
• Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules.
• The index of reducibility of parameter ideals in low dimension
• Combinatorics and commutative algebra.
• On sequentially Cohen-Macaulay modules
• The equality \(I^2=QI\) in Buchsbaum rings
• On Irreducible Ideals in Local Rings
• The number of irreducible components of an ideal and the semi-regularity of a local ring

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