LENGTH ONE IDEAL EXTENSIONS AND THEIR ASSOCIATED GRADED RINGS

DOI10.1081/AGB-200060032zbMath1094.13039OpenAlexW2136905196MaRDI QIDQ5699884

Sam Huckaba

Publication date: 27 October 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200060032

zbMATH Keywords

reductiondepth

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

• Unnamed Item
• Cohen-Macaulay local rings of embedding dimension e+d-2
• Hilbert functions and symbolic powers
• Cohen-Macaulayness in graded algebras
• Ideals whose Hilbert function and Hilbert polynomial agree at \(n=1\)
• Form rings and regular sequences
• The Coefficients of the Hilbert Polynomial and the Reduction Number of an Ideal
• Links of prime ideals
• A conjecture of j. sally
• 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