Constructing bad Noetherian local domains using derivations

DOI10.1016/0021-8693(89)90057-4zbMath0692.13005OpenAlexW2037914994MaRDI QIDQ583285

Kenneth R. Goodearl, Thomas H. Lenagan

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90057-4

zbMATH Keywords

multiplicityderivationintegral closurenoetherian local domainspower series algebra

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Morphisms of commutative rings (13B10) Integral domains (13G05) Local rings and semilocal rings (13H99)

Related Items

Simple Derivations of Graded Affine Algebras in Positive Characteristic ⋮ Maximally differential ideals in regular local rings ⋮ One-dimensional bad Noetherian domains ⋮ A counterpart to Nagata idealization ⋮ A few examples of local rings. I ⋮ Differential simplicity and the module of derivations ⋮ A note on the Nakai conjecture ⋮ Reduced morphisms and Nagata rings ⋮ Differential simplicity, Cohen-Macaulayness and formal prime divisors ⋮ Unnamed Item

Cites Work

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• Maximally differential prime ideals
• Derivations and integral closure
• Derivations of commutative noetherian rings
• Differential simplicity and complete integral closure
• Fibres formelles d'un anneau local noethérien