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- W2072997124 abstract "In this note, we show that, if the Druzkowski mappings $F(X)=X+(AX)^{*3}$, i.e. $F(X)=(x_1+(a_{11}x_1+...+a_{1n}x_n)^3,...,x_n+(a_{n1}x_1+...+a_{nn}x_n)^3)$, satisfies $TrJ((AX)^{*3})=0$, then $rank(A)leq 1/2(n+delta)$ where $delta$ is the number of diagonal elements of A which are equal to zero. Furthermore, we show the Jacobian Conjecture is true for the Druzkowski mappings in dimension $leq 9$ in the case $prod_{i=1}^{n}a_{ii}neq0$." @default.
- W2072997124 created "2016-06-24" @default.
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- W2072997124 date "2011-11-01" @default.
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- W2072997124 title "A note on the Jacobian Conjecture" @default.
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- W2072997124 doi "https://doi.org/10.1016/j.laa.2011.01.016" @default.
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