AN ALGORITHM FOR COMPUTING THE RATLIFF–RUSH CLOSURE

DOI10.1142/S0219498809003473zbMath1174.13011arXiv1009.0788OpenAlexW2963886293MaRDI QIDQ3638688

Ibrahim Al-Ayyoub

Publication date: 28 October 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0788

zbMATH Keywords

monomial idealsRatliff-Rush filtrationreductions of idealsRatliff-Rush closuregraded associated ring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22)

Related Items (9)

On the reduction numbers of monomial ideals ⋮ Freiman ideals and the number of generators of powers of monomial ideals ⋮ A note on the ascending chain condition of ideals ⋮ Results on the behavior of the Ratliff–Rush operation and the depth of the associated graded ring ⋮ The Ratliff-Rush closure of initial ideals of certain prime ideals ⋮ Monomial ideals with tiny squares and Freiman ideals ⋮ Results on the Ratliff–Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves ⋮ Powers of monomial ideals and the Ratliff-Rush operation ⋮ Powers of monomial ideals and the Ratliff-Rush operation

Cites Work

• Coefficient ideals in and blowups of a commutative Noetherian domain
• On the depth of the associated graded ring of an ideal.
• On the computation of the Ratliff-Rush closure
• The ratliff-rush ideals in a noetherian ring
• Hilbert Coefficients and the Depths of Associated Graded Rings
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