Bounds for the reduction number of primary ideal in dimension three

DOI10.1090/proc/16443zbMath1527.13028arXiv2209.13319OpenAlexW4321492465MaRDI QIDQ6052126

Kumari Saloni, Mousumi Mandal

Publication date: 21 September 2023

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

Full work available at URL: https://arxiv.org/abs/2209.13319

zbMATH Keywords

Cohen-Macaulay ringreduction numberHilbert coefficientsBuchsbaum ringRatliff-Rush closure

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 (1)

Ratliff-Rush filtration, Hilbert coefficients and reduction number of integrally closed ideals

Cites Work

• Unnamed Item
• Unnamed Item
• Ratliff-Rush filtration, regularity and depth of higher associated graded modules. II.
• Ideals generated by quadrics
• Ratliff-Rush filtration, regularity and depth of higher associated graded modules. I
• Hilbert functions of filtered modules
• The structure of Sally modules of rank one
• On Hilbert functions and cohomology
• Hilbert coefficients of Hilbert filtrations
• Hilbert coefficients of integrally closed ideals
• Cohen-Macaulay local rings with \(e_2 = e_1 - e + 1\)
• Results on the Hilbert coefficients and reduction numbers
• Depth of associated graded rings via Hilbert coefficients of ideals
• Variation of Hilbert coefficients
• THE STRUCTURE OF THE SALLY MODULE OF INTEGRALLY CLOSED IDEALS
• Hilbert Coefficients and the Depths of Associated Graded Rings
• A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients
• A bound on the reduction number of a primary ideal
• SALLY MODULES AND REDUCTION NUMBERS OF IDEALS

This page was built for publication: Bounds for the reduction number of primary ideal in dimension three