Integrally closed ideals in regular local rings of dimension two

DOI10.1016/j.jpaa.2011.04.007zbMath1232.13003OpenAlexW2040568710MaRDI QIDQ659887

Mee-Kyoung Kim, William J. Heinzer

Publication date: 24 January 2012

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.2011.04.007

zbMATH Keywords

regular ringintegrally closed idealsminimal multiplicitynormal Cohen-Macaulay ring

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (4)

Finitely supported \(\ast\)-simple complete ideals and multiplicities in a regular local ring ⋮ The blow-up of a simple ideal ⋮ On the degree function coefficients of complete ideals in two-dimensional regular local rings ⋮ The Rees Valuations of Complete Ideals in a Regular Local Ring

Cites Work

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• Birational extensions in dimension two and integrally closed ideals
• Integrally Closed Ideals and Rees Valuation
• On the Valuations Centered in a Local Domain
• Product of distinct simple integrally closed ideals in 2-dimensional regular local rings
• Factorization of an integrally closed ideal in two-dimensional regular local rings
• [https://portal.mardi4nfdi.de/wiki/Publication:5656715 Berichtigung zu meiner Arbeit �Vergleich der mittleren Bewegungen in der babylonischen, griechischen und indischen Astronomie> (Centaurus 11, p. 1?18)]

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