First coefficient domains and ideals of reduction number one

DOI10.1080/00927879308824766zbMath0779.13004OpenAlexW2028622458MaRDI QIDQ3136874

William J. Heinzer, Bernhard Johnston, David C. Lantz

Publication date: 6 October 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824766

zbMATH Keywords

Hilbert functionreduction numberNoetherian ringRatliff-Rush idealcoefficient domain

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (7)

Ideal theory in two-dimensional regular local domains and birational extensions ⋮ Coefficient modules and Ratliff-Rush closures^* ⋮ INVARIANTS OF IDEALS HAVING PRINCIPAL REDUCTIONS ⋮ A formula for the core of an ideal ⋮ First coefficient ideals and the \(S_2\)-ification of a Rees algebra ⋮ Local Cohomology of Rees Algebras and Hilbert Functions ⋮ A numerical characterization of the \(S_{2}\)-ification of a Rees algebra

Cites Work

• Unnamed Item
• On form rings which are Cohen-Macaulay
• On the Cohen-Macaulayness of the fiber cone of an ideal
• Ideals whose Hilbert function and Hilbert polynomial agree at \(n=1\)
• Reduction numbers for ideals of higher analytic spread
• Coefficient Ideals
• The ratliff-rush ideals in a noetherian ring
• A Note on Analytically Unramified Local Rings

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