The Ratliff-Rush closure of initial ideals of certain prime ideals

DOI10.1216/RMJ-2010-40-4-1085zbMath1200.13014arXivmath/0411422MaRDI QIDQ990306

Ibrahim Al-Ayyoub

Publication date: 7 September 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411422

zbMATH Keywords

initial idealmonomial curvedefining idealRatliff-Rush closure

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (3)

On the reduction numbers of monomial ideals ⋮ A note on the ascending chain condition of ideals ⋮ Results on the Ratliff–Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves

Cites Work

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• Generators for the derivation modules and the relation ideals of certain curves
• Minimal sets of generators for the relation ideals of certain monomial curves
• On the computation of the Ratliff-Rush closure
• AN ALGORITHM FOR COMPUTING THE RATLIFF–RUSH CLOSURE
• Reduced Gröbner Bases of Certain Toric Varieties; A New Short Proof
• The ratliff-rush ideals in a noetherian ring
• A Gröbner Basis for Certain Affine Monomial Curves

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