Ratliff-Rush closures of ideals with respect to a noetherian module

DOI10.1016/j.jpaa.2004.06.008zbMath1095.13002OpenAlexW1996861428MaRDI QIDQ1765697

Reza Naghipour

Publication date: 23 February 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.06.008

zbMATH Keywords

associated graded ringRees ringassociated graded moduleRees module

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Commutative Noetherian rings and modules (13E05) Graded rings (13A02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (8)

Ratliff-Rush filtrations associated with ideals and modules over a Noetherian ring ⋮ Ratliff-Rush filtration, regularity and depth of higher associated graded modules. I ⋮ Asymptotic Primes of Ratliff–Rush Closure of Ideals with Respect to Modules ⋮ On the reduction numbers of monomial ideals ⋮ Ratliff–Rush closures and linear growth of primary decompositions of ideals ⋮ A note on the ascending chain condition of ideals ⋮ On colon operations and special types of ideals ⋮ Asymptotic associate primes

Cites Work

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• Coefficient ideals in and blowups of a commutative Noetherian domain
• Asymptotic primes and asymptotic grades on modules
• The ratliff-rush ideals in a noetherian ring
• Asymptotic Stability of Ass(M/I n M)

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