Commutative bases of derivations in polynomial and power series rings

DOI10.1016/0022-4049(86)90046-0zbMath0592.13004OpenAlexW2031424582MaRDI QIDQ1075376

Andrzej Nowicki

Publication date: 1986

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(86)90046-0

zbMATH Keywords

formal power series ringspolynomial ringsJacobian conjecturecommutative basis ofderivation module

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Morphisms of commutative rings (13B10) Formal power series rings (13F25)

Related Items

Automorphisms of the Lie algebra of vector fields on affine \(n\)-space, Pairwise commuting derivations of polynomial rings, A note on locally nilpotent derivations, Simplicity and commutative bases of derivations in polynomial and power series rings, On Noncommutative Bases of Free Modules of Derivations over Polynomial Rings, Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials, Unnamed Item

Cites Work

• Automorphisms of polynomial and power series rings
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Unnamed Item