Results on the behavior of the Ratliff–Rush operation and the depth of the associated graded ring

DOI10.1080/00927872.2021.1897989zbMath1470.13007OpenAlexW3143299808MaRDI QIDQ5153806

Ibrahim Al-Ayyoub

Publication date: 1 October 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1897989

zbMATH Keywords

associated graded ringRatliff-Rush closurepowers of monomial ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

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• Powers of monomial ideals and the Ratliff-Rush operation

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