JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (12): 50-58.doi: 10.6040/j.issn.1671-9352.0.2019.100

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Nonlinear Jordan higher derivable maps on triangular algebras by Lie product square zero elements

FEI Xiu-hai1, DAI Lei2, ZHU Guo-wei1   

  1. 1. School of Mathematics and Physics, Dianxi Science and Technology Normal University, Lincang 677099, Yunnan, China;
    2. School of Mathematics and Statistics, Weinan Normal University, Weinan 714099, Shaanxi, China
  • Published:2019-12-11

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Abstract: Let U be a 2-torsion free triangular algebra, D={dn}n∈N is a nonlinear Jordan higher derivable map on triangular algebra U by Lie product square zero elements. In this paper, it is shown that every nonlinear Jordan higher derivable map on triangular algebra U by Lie product square zero elements is a higher derivation. As its application, we get that every nonlinear Jordan higher derivable map on a nest algebra or a 2-torsion free block upper triangular matrix algebra U by Lie product square zero elements is a higher derivation.

Key words: triangular algebra, higher derivation, Jordan higher derivation, square zero element

CLC Number: 

  • O177.1
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