A differential criterion and formula for the inversion of a polynomial map in several variables

DOI10.1016/0022-4049(90)90111-TzbMath0728.13009OpenAlexW2071633658MaRDI QIDQ804647

Kossivi Adjamagbo, A. R. P. van den Essen

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-4049(90)90111-t

zbMATH Keywords

Jacobian conjecturepolynomial functionsderivation

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over commutative rings (13B25) Differential algebra (13N99)

Related Items (4)

Locally nilpotent derivations and their applications. III ⋮ The inversion formula for automorphisms of the Weyl algebras and polynomial algebras ⋮ A resultant criterion and formula for the inversion of a polynomial map in two variables ⋮ The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic

Cites Work

• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Unnamed Item

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