A locally Nagata PID that is not Nagata

DOI10.1016/J.JPAA.2021.106985zbMath1490.13027OpenAlexW4200235176MaRDI QIDQ2125157

Raymond C. Heitmann

Publication date: 13 April 2022

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.2021.106985

zbMATH Keywords

regular ringexcellent ringJapanese ringlocally excellent ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Principal ideal rings (13F10) Excellent rings (13F40)

Cites Work

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• A few examples of local rings. I
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Non-openness of loci in Noetherian rings
• Enlarging localized polynomial rings while preserving their prime ideal structure
• On the Chain Problem of Prime Ideals
• Note on integral closures of Noetherian domains

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