Ratliff-Rush closures and coefficient modules

DOI10.1006/jabr.1997.7300zbMath0918.13002OpenAlexW2071190119MaRDI QIDQ1270366

Jung-Chen Liu

Publication date: 19 August 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7300

zbMATH Keywords

Buchsbaum-Rim polynomialRatliff-Rush closure

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items

RATLIFF–RUSH CLOSURE OF IDEALS IN INTEGRAL DOMAINS ⋮ Coefficient modules and Ratliff-Rush closures^* ⋮ On Ratliff-Rush closure of modules ⋮ Equimultiple coefficient modules ⋮ Ratliff–Rush Closure of Ideals in Pullbacks and Polynomial Rings

Cites Work

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• On the Buchsbaum-Rim Multiplicity associated with a Matrix
• Reduction of modules
• Coefficient Ideals
• The ratliff-rush ideals in a noetherian ring
• Reduction criteria for modules
• Prime ideals associated to symmetric powers of a module
• Integrally Closed Modules Over Two-Dimensional Regular Local Rings
• A Generalized Koszul Complex. II. Depth and Multiplicity

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