Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A NOTE ON JORDAN DERIVATIONS OF TRIVIAL GENERALIZED MATRIX ALGEBRAS

  • Li, Yanbo (School of Mathematics and Statistics Northeastern University at Qinhuangdao) ;
  • Zheng, Chenyou (School of Mathematics and Statistics Northeastern University at Qinhuangdao)
  • Received : 2016.04.25
  • Published : 2017.04.30
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Abstract

H. R. Ebrahimi Vishki et al. conjectured in [1], that if every Jordan higher derivation on a trivial generalized matrix algebra $\mathcal{G}=(A,M,N,B)$ is a higher derivation, then either M = 0 or N = 0. In this note, we will give a class of counter examples.

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References

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