Maximally differential prime ideals in a complete local ring

DOI10.1016/0021-8693(83)90153-9zbMath0514.13018OpenAlexW2093644300MaRDI QIDQ1051056

Balwant Singh

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90153-9

zbMATH Keywords

derivationcomplete local ringnoetherian local ringmaximally differential prime idealspermissible 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) Local rings and semilocal rings (13H99) Modules of differentials (13N05) Complete rings, completion (13J10)

Related Items (11)

A differential condition on the normal cone ⋮ Maximally differential ideals in positive characteristic ⋮ Maximally differential ideals of finite projective dimension ⋮ Differential simplicity and the module of derivations ⋮ Structure of Maximally Differential Graded Ideals in Positive Characteristic ⋮ A generalization of Maloo's theorem on freeness of derivation modules ⋮ Maximally Differential Graded Ideals in Positive Characteristic ⋮ Permissibility of a maximally differential prime ideal ⋮ Remarks on maximally differential prime ideals ⋮ Maximally differential prime ideals ⋮ Higher derivations, normal flatness, and analytic products

Cites Work

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• Remarks on maximally differential prime ideals
• Differential criteria on the permissibility of a blowing-up
• Derivations on Commutative Rings
• Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves
• Free Derivation Modules on Algebraic Varieties
• Differential Ideals in Rings of Finitely Generated Type

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