Journal of East China Normal University(Natural Science) >

2016 , Vol. 2016 >Issue 1: 39 - 42

DOI: https://doi.org/10.3969/j.issn.1000-5641.2016.01.005

Article

Jordan all-derivable points in upper triangular matrix algebras

  • SUN Ai-Hui
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Received date: 2014-11-10

  Online published: 2016-03-10

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Abstract

Zhao and Zhu proved the following result: Every matrix in upper triangular matrix algebras over the complex number field is a Jordan all-derivable point. The aim of this paper is to show that every matrix in upper triangular matrix algebras over an infinite field of characteristic not 2 is a Jordan all-derivable point.

Key words： Jordan all-derivable point;derivation;upper triangular matrix algebra; triangular algebra

Cite this article

SUN Ai-Hui . Jordan all-derivable points in upper triangular matrix algebras[J]. Journal of East China Normal University(Natural Science), 2016 , 2016(1) : 39 -42 . DOI: 10.3969/j.issn.1000-5641.2016.01.005

References

[1] ZHAO S, ZHU J. Jordan all-derivable points in the algebra ofall upper triangular matrices [J]. Linear Algebra Appl, 2010, 433:1922-1938.
[2] ZHU J. Characterization of all-derivable points in nestalgebras [J]. Proc Amer Math Soc, 2013, 141: 2343-2350.


[3] CHEUNG W S. Commuting maps of triangular algebras [J].J London Math Soc, 2001, 63(1): 117-127.
[4] CHEUNG W S. Lie derivations of triangular algebras [J].Linear and Multilinear Algebra, 2003, 51(3): 299-310.
[5] 梁才学, 朱军, 赵金平. 三角代数上的广义~Jordan~高阶导子~[J].杭州电子科技大学学报, 2011, 31(2): 82-85.
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