An Upper Bound on the Reduction Number of an Ideal

DOI10.1080/00927870802210035zbMath1171.13001arXiv0711.4880OpenAlexW2030930822MaRDI QIDQ3638423

Kensuke Sakata, Ryuta Shinya, Yayoi Kinoshita, Kohji Nishida

Publication date: 2 July 2009

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

Full work available at URL: https://arxiv.org/abs/0711.4880

zbMATH Keywords

reduction numberHilbert coefficientsintegral closureRatliff-Rush closure

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (1)

Ideals generated by quadrics

Cites Work

• Unnamed Item
• Links of symbolic powers of prime ideals
• Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
• Hilbert coefficients of Hilbert filtrations
• The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two
• A conjecture of j. sally
• On associated graded rings having almost maximal depth
• A bound on the reduction number of a primary ideal

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