On Hasse–Schmidt Derivations: The Action of Substitution Maps

DOI10.1007/978-3-319-96827-8_10zbMath1405.13048arXiv1802.09894OpenAlexW2789047369MaRDI QIDQ4613695

Luis Narváez-Macarro

Publication date: 24 January 2019

Published in: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09894

Mathematics Subject Classification ID

Derivations and commutative rings (13N15)

Related Items (8)

On the behavior of modules of \(m\)-integrable derivations in the sense of Hasse-Schmidt under base change ⋮ Higher derivations of modules and the Hasse-Schmidt module ⋮ Finiteness of leaps in the sense of Hasse-Schmidt of unibranch curves in positive characteristic ⋮ Hasse–Schmidt derivations versus classical derivations ⋮ Hasse-Schmidt modules versus integrable connections ⋮ On the bracket of integrable derivations ⋮ Rings of differential operators as enveloping algebras of Hasse-Schmidt derivations ⋮ Leaps of modules of integrable derivations in the sense of Hasse-Schmidt

Cites Work

• On the modules of \(m\)-integrable derivations in non-zero characteristic
• Integrating Hasse-Schmidt derivations
• Hasse-Schmidt derivations, divided powers and differential smoothness
• On the imbedding of derivations of finite rank into derivations of infinite rank
• Hasse-Schmidt derivations and coefficient fields in positive characteristics.
• Rings of differential operators as enveloping algebras of Hasse-Schmidt derivations
• Existentially closed fields withG-derivations
• Integrable derivations
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