Ratliff–Rush closures and linear growth of primary decompositions of ideals

DOI10.1142/S0219498817500682zbMath1369.13008arXiv1308.5948MaRDI QIDQ2988762

Monireh Sedghi

Publication date: 19 May 2017

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

Full work available at URL: https://arxiv.org/abs/1308.5948

zbMATH Keywords

linear growthRees ringassociated prime idealsRatliff-Rush closure

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

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• On the relevant transform and the relevant component of an ideal
• Coefficient ideals in and blowups of a commutative Noetherian domain
• Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
• Ratliff-Rush closures of ideals with respect to a noetherian module
• The ratliff-rush ideals in a noetherian ring
• Asymptotic Stability of Ass(M/I n M)
• Injective modules and linear growth of primary decompositions
• ARTINIAN MODULES AND HILBERT POLYNOMIALS

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