J4 ›› 2013, Vol. 51 ›› Issue (01): 74-82.

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Classification of LowDimensional HomLeibniz Algebras

XU Liyuan1, WANG Chunyue2, ZHANG Ruolan3, ZHANG Qingcheng3   

  1. 1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, Jilin Province, China|2. School of Applied Science, Jilin Teachers Institute of Engineering and Technology, Changchun 130052, |China;3. School of Mathematics and Statistics, Northeast Normal University, Changchun  130024, |China
  • Received:2012-05-28 Online:2013-01-26 Published:2013-01-31
  • Contact: ZHANG Qingcheng E-mail:zhangqc569@nenu.edu.cn

Abstract:

The authors determined the two dimensional and three dimensional endomorphism of Leibniz algebras on complex field  using undetermined coefficients method, and then clssified the  HomLeibniz algebras of their associated non-Lie algebra.

Key words: Hom-Leibniz algebra; endomorphism; classification

CLC Number: 

  • O152.5