On the computation of the Ratliff-Rush closure, associated graded ring and invariance of a length

DOI10.1216/JCA-2018-10-4-547zbMath1410.13002arXiv1511.00402MaRDI QIDQ1711551

Amir Mafi

Publication date: 18 January 2019

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

Full work available at URL: https://arxiv.org/abs/1511.00402

zbMATH Keywords

associated graded ringRatliff-Rush filtrationminimal reduction

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (4)

On the reduction numbers of monomial ideals ⋮ A note on the ascending chain condition of ideals ⋮ Results on the behavior of the Ratliff–Rush operation and the depth of the associated graded ring ⋮ Results on the Hilbert coefficients and reduction numbers

Uses Software

• CoCoALib
• Macaulay2
• normal.lib

Cites Work

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• A note on analytic spread
• On associated graded rings having almost maximal depth
• DEPTH OF HIGHER ASSOCIATED GRADED RINGS
• A bound on the reduction number of a primary ideal
• Invariance of a Length Associated to a Reduction
• Ratliff–Rush ideal and reduction numbers
• CoCoALib: A C++ Library for Computations in Commutative Algebra... and Beyond

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