The index of reducibility of powers of a standard parameter ideal

DOI10.1142/S0219498819500488zbMath1430.13037arXiv1604.07055OpenAlexW2963492974WikidataQ130117869 ScholiaQ130117869MaRDI QIDQ5383822

Hoang Le Truong, Pham Hung Quy, Nguyen Tu Cuong

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07055

zbMATH Keywords

local cohomologygeneralized Cohen-Macaulaystandard idealindex of reducibility

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Ideals and multiplicative ideal theory in commutative rings (13A15) Local cohomology and commutative rings (13D45)

Related Items (1)

On the sectional genera and Cohen-Macaulay rings

Cites Work

• On the uniform bound of the index of reducibility of parameter ideals of a module whose polynomial type is at most one
• Index of reducibility of parameter ideals and Cohen-Macaulay rings
• A splitting theorem for local cohomology and its applications
• Index of reducibility of parameter ideals in a local ring
• Asymptotic behavior of parameter ideals in generalized Cohen-Macaulay modules
• Asymptotic behaviour of good systems of parameters of sequentially generalized Cohen-Macaulay modules
• On the index of reducibility in Noetherian modules
• The equality \(I^2=QI\) in Buchsbaum rings
• Index of reducibility of distinguished parameter ideals and sequentially Cohen-Macaulay modules
• Quasi-socle ideals in Buchsbaum rings
• On Irreducible Ideals in Local Rings
• Multiplizitäten in verallgemeinerten COHEN-MACAULAY-Moduln
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Toward a theory of generalized Cohen-Macaulay modules

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