JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (2): 48-55.doi: 10.6040/j.issn.1671-9352.0.2020.345

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A class of non-global higher derivable nonlinear maps on triangular algebras

MA Shuai-ying, ZHANG Jian-hua*   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710062, Shaanxi, China
  • Published:2021-01-21

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Abstract: Let T =Tri(A,M,B )be a triangular algebra, and {δn}n∈N:T →T be a family of maps(without the assumption of additivity and where δ0 is the identity map). If {δn}n∈N satisfies δn(UV)=∑i+j=nδi(U)δj(V)for any U,V∈T with at least one of them is idempotent, then {δn}n∈N is an additive higher derivation on T.

Key words: triangular algebra, idempotent, higher derivation

CLC Number: 

  • O177.1
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