Rings of differential operators as enveloping algebras of Hasse-Schmidt derivations

DOI10.1016/j.jpaa.2019.05.009zbMath1461.14024arXiv1807.10193OpenAlexW2883250017WikidataQ114664615 ScholiaQ114664615MaRDI QIDQ2318390

Luis Narváez-Macarro

Publication date: 15 August 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10193

zbMATH Keywords

differential operatorHasse-Schmidt derivationintegrable derivationsubstitution mappower divided algebra

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Commutative rings of differential operators and their modules (13N10)

Related Items (4)

Higher derivations of modules and the Hasse-Schmidt module ⋮ On Hasse–Schmidt Derivations: The Action of Substitution Maps ⋮ Hasse–Schmidt derivations versus classical derivations ⋮ Hasse-Schmidt modules versus integrable connections

Cites Work

• Unnamed Item
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• On the modules of \(m\)-integrable derivations in non-zero characteristic
• Hasse-Schmidt derivations, divided powers and differential smoothness
• On the imbedding of derivations of finite rank into derivations of infinite rank
• Hasse-Schmidt modules versus integrable connections
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Existentially closed fields withG-derivations
• Integrable derivations
• Notes on Crystalline Cohomology. (MN-21)
• Iterative differential equations and the Abhyankar conjecture
• On Hasse–Schmidt Derivations: The Action of Substitution Maps
• Differential Forms on General Commutative Algebras
• Lois polynomes et lois formelles en théorie des modules

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