Maximally differential prime ideals

DOI10.1016/0021-8693(86)90201-2zbMath0591.13018OpenAlexW2056681519MaRDI QIDQ1074670

Yves Lequain, Ada Maria de Souza Doering

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90201-2

zbMATH Keywords

multiplicityderivationsembedding dimensionmaximally differential idealnoetherian rational algebraspermissible prime ideal

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Morphisms of commutative rings (13B10) Ideals and multiplicative ideal theory in commutative rings (13A15) Modules of differentials (13N05)

Related Items

One-dimensional bad Noetherian domains ⋮ Maximally differential ideals of finite projective dimension ⋮ Differential simplicity, Cohen-Macaulayness and formal prime divisors ⋮ Constructing bad Noetherian local domains using derivations ⋮ A generalization of Maloo's theorem on freeness of derivation modules

Cites Work

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• Maximally differential prime ideals in a complete local ring
• Permissibility of a maximally differential prime ideal
• Remarks on maximally differential prime ideals
• Differential criteria on the permissibility of a blowing-up
• Derivations and integral closure
• Differential simplicity and complete integral closure
• Differential Simplicity in Regular Local Rings
• Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves

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