欢迎访问中国科学院大学学报,今天是

中国科学院大学学报 ›› 2014, Vol. 31 ›› Issue (1): 1-4.DOI: 10.7523/j.issn.2095-6134.2014.01.001

• 数学与物理学 •    下一篇

线性相关性问题和线性三角化的一些结果

孙鹏举, 严丹, 唐国平   

  1. 中国科学院大学数学科学学院, 北京 100049
  • 收稿日期:2013-01-25 修回日期:2013-05-08 发布日期:2014-01-15
  • 通讯作者: 孙鹏举,E-mail:sunpegju10@mails.ucas.ac.cn
  • 基金资助:

    Supported by National Natural Science Foundation of China (11071247)

Some remarks on the linearly dependent problem and linear triangularizability

SUN Pengju, YAN Dan, TANG Guoping   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2013-01-25 Revised:2013-05-08 Published:2014-01-15
  • Supported by:

    Supported by National Natural Science Foundation of China (11071247)

摘要:

首先证明二次线性Keller映射的齐次部分在某些条件下是线性相关的;其次,给出多项式可线性上三角化的一个等价条件;最后,证明如果(JF-X))2=0且n≤3,那么F是可线性上三角化的.

关键词: 相关性问题, 线性上三角化, 雅克比猜想

Abstract:

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.

Key words: dependent problem, linear triangularizability, Jacobian conjecture

中图分类号: