收稿日期: 2013-01-25
修回日期: 2013-05-08
网络出版日期: 2014-01-15
基金资助
Supported by National Natural Science Foundation of China (11071247)
Some remarks on the linearly dependent problem and linear triangularizability
Received date: 2013-01-25
Revised date: 2013-05-08
Online published: 2014-01-15
Supported by
Supported by National Natural Science Foundation of China (11071247)
孙鹏举 , 严丹 , 唐国平 . 线性相关性问题和线性三角化的一些结果[J]. 中国科学院大学学报, 2014 , 31(1) : 1 -4 . DOI: 10.7523/j.issn.2095-6134.2014.01.001
In this paper, we first show that the homogeneous parts of the quadratic-linear Keller maps are linearly dependent under certain conditions. Then we give an equivalent statement about the linearly triangularizable polynomials. Finally, we show that a polynomial F is linearly triangularizable if (J(F-X))2=0 and n≤3.
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