Ratliff–Rush ideal and reduction numbers

DOI10.1080/00927872.2017.1344686zbMath1391.13019arXiv1510.02278OpenAlexW2963966422MaRDI QIDQ5745113

Amir Mafi

Publication date: 5 June 2018

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

Full work available at URL: https://arxiv.org/abs/1510.02278

zbMATH Keywords

reduction numberRatliff-Rush ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Cohen-Macaulay modules (13C14)

Related Items (2)

Strong persistence and associated primes of powers of monomial ideals ⋮ On the computation of the Ratliff-Rush closure, associated graded ring and invariance of a length

Uses Software

• Macaulay2

Cites Work

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• Asymptotic prime divisors
• Ratliff-Rush filtration, regularity and depth of higher associated graded modules. I
• On the computation of the Ratliff-Rush closure
• A module relation associated with the artin-rees lemma
• R-Sequences and Homological Dimension
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• The ratliff-rush ideals in a noetherian ring
• The Reduction Number of an Ideal and the Local Cohomology of the Associated Graded Ring
• The Castelnuovo regularity of the Rees algebra and the associated graded ring
• A note on analytic spread
• Hilbert Coefficients and the Depths of Associated Graded Rings
• Comparison of Certain Complexes of Modules of Generalized Fractions and Čech Complexes

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