Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (3): 475-481.

Previous Articles     Next Articles

Higher ξ-Lie Derivable Maps on Triangular Algebras by Jordan Zero Products

LIU Jing, ZHANG Jianhua   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China
  • Received:2020-09-18 Online:2021-05-26 Published:2021-05-23

Abstract: Let U=Tri(A,M,B) be a 2-torsion free triangular algebra, and  {φn}n∈N be a sequence of linear mappings from U to itself. By using the method of algebraic decomposition, we prove that  the specific form of higher ξ-Lie derivable maps on nest algebras by Jordan zero products is obtained.

Key words: triangular algebra, higher ξ-Lie derivable map, ξ-Lie product

CLC Number: 

  • O177.1