A case of the Jacobian conjecture
暂无分享，去创建一个
A brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F = X + H is a polynomial map. If H is homogeneous of degree ≥2 and has Jacobian matrix whose square is zero, then F is invertible with inverse G = X − H. We also point out an error in a previous published proof of this result.
[1] Subgroups of polynomial automorphisms , 1990 .
[2] H. Bass,et al. The Jacobian conjecture: Reduction of degree and formal expansion of the inverse , 1982 .
[3] C. Olech,et al. Power-exact, nilpotent, homogeneous matrices , 1993, Linear and Multilinear Algebra.
[4] A case of the Jacobian Conjecture , 1988 .