Remark on Rees valuations of finitely supported complete monomial ideals in a regular local ring

DOI10.1080/00927872.2022.2037138zbMath1487.13012OpenAlexW4214685644MaRDI QIDQ5080240

Mee-Kyoung Kim

Publication date: 31 May 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2037138

zbMATH Keywords

monomial idealbase pointsfinitely supported ideallocal quadratic transformRees valuationtransform of an idealspecial \(\ast\)-simple complete ideal

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)

Cites Work

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• Finitely supported \(\ast\)-simple complete ideals in a regular local ring
• Adjoints of ideals
• The primary components of and integral closures of ideals in 3-dimensional regular local rings
• Factorization of complete ideals
• On the Valuations Centered in a Local Domain
• The Rees Valuations of Complete Ideals in a Regular Local Ring
• Regular Overrings of Regular Local Rings
• *-SIMPLE COMPLETE MONOMIAL IDEALS

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