A chain rule formula for higher derivations and inverses of polynomial maps

DOI10.1080/00927872.2018.1530243zbMath1411.14069arXiv1611.01940OpenAlexW2554951247MaRDI QIDQ5382949

Andreas Maurischat

Publication date: 19 June 2019

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

Full work available at URL: https://arxiv.org/abs/1611.01940

zbMATH Keywords

polynomial automorphismschain rulehigher derivations

Mathematics Subject Classification ID

Jacobian problem (14R15) Derivations and commutative rings (13N15) Differential algebra (12H05)

Cites Work

• Unnamed Item
• Automorphisms of polynomial and power series rings
• The inversion formula for automorphisms of the Weyl algebras and polynomial algebras
• The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic
• Polynomial automorphisms and the Jacobian conjecture
• Positive characteristic approach to weak kernel conjecture
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Galois theory for iterative connections and nonreduced Galois groups
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Formulae for high derivatives of composite functions

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