数学季刊（英文版）
數學季刊（英文版）
수학계간（영문판）
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2006年
4期
482-487
,共6页
coordinate polynomials%Jacobian Conjecture%polynomial automorphism%tame automorphism%algebraically closed field
In this paper, we introduce a polynomial sequence in K[x], in which two neighbor polynomials satisfy a wonderful property. Using that,we give partial answer of an open problem: if ψ(x, y, z) = (f(x, y), g(x, y, z), z), which sends every linear coordinate to a coordinate, then ψ is an automorphism of K[x, y, z]. As a byproduct, we give an easy proof of the well-known Jung's Theorem.
