J4 ›› 2013, Vol. 48 ›› Issue (4): 5-9.

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Lie higher derivable mappings of triangular algebras at zero points

HU Li-xia, ZHANG Jian-hua   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China
  • Received:2012-04-08 Online:2013-04-20 Published:2013-04-16

Abstract:

 In this note, we study the structure of Lie higher derivable mapping of triangular algebras at zero point, and prove that every Lie higher derivable mapping at zero point is the sum of a higher derivation and a map into its center.

Key words:  triangular algebra; Lie higher derivable mapping at zero point; higher derivation

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