A note on the solution set of the equation $[L_1^r,P_1]=[P_2,L_2^s]$ for given linear forms $L_1,L_2$

DOI10.4064/ba210123-12-7zbMath1481.14096OpenAlexW3191835802MaRDI QIDQ5035318

Daria Holik, Marek S. Karaś

Publication date: 21 February 2022

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba210123-12-7

zbMATH Keywords

differential formsPoisson bracketpolynomial ring

Mathematics Subject Classification ID

Jacobian problem (14R15) Derivations and commutative rings (13N15) Poisson algebras (17B63)

Cites Work

• Unnamed Item
• Polynomial automorphisms and the Jacobian conjecture
• On the jacobian equation J(f, g) = 0 for Polynomials in k[x, y]
• Poisson brackets and two-generated subalgebras of rings of polynomials
• The Nagata automorphism is wild
• Algebraic theory of locally nilpotent derivations

This page was built for publication: A note on the solution set of the equation $[L_1^r,P_1]=[P_2,L_2^s]$ for given linear forms $L_1,L_2$