JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (10): 97-105.doi: 10.6040/j.issn.1671-9352.0.2021.247

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A class of non-global nonlinear triple higher derivable maps on generalized matrix algebras

FEI Xiu-hai, ZHANG Hai-fang*   

  1. School of Mathematics and Physics, West Yunnan University, Lincang 677099, Yunnan, China
  • Published:2022-10-06

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Abstract: Let G be a 2-torsion free generalized matrix algebra with MN=0=NM,Q={A∈G:A2=0} and D={dn}n∈N be a sequence mapping from G into itself(without assumption of additivity). In this paper, it is shown that if D satisfies dn(ABC)=∑r+s+t=ndr(A)ds(B)dt(C)for all n∈N,A,B,C∈G with ABC∈Q, then D is an additive higher derivation. As its applications get that the similar conclusion on Triangular algebras.

Key words: generalized matrix algebra, triple higher derivable map, higher derivation

CLC Number: 

  • O177.1
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