Decomposition of integrally closed ideals in Arf rings

DOI10.1216/jca.2023.15.335arXiv2104.14122OpenAlexW4390004331MaRDI QIDQ6185718

Ryotaro Isobe

Publication date: 8 January 2024

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.14122

zbMATH Keywords

stable idealintegrally closed idealArf ringintegrally closed ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Rings of fractions and localization for commutative rings (13B30)

Cites Work

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• A fast algorithm for constructing Arf closure and a conjecture
• Integral closedness of complete-intersection ideals
• Generalized Gorenstein Arf rings
• Arf numerical semigroups.
• Studies in Equisingularity III: Saturation of Local Rings and Equisingularity
• Stable Ideals and Arf Rings
• Une Interprétation Algébrique de la Suite des Ordres de Multiplicité D'une Branche Algébrique
• On the ubiquity of Arf rings

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