JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (10): 85-90.doi: 10.6040/j.issn.1671-9352.0.2018.635

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Additivity of biderivable maps on generalized matrix algebras

FEI Xiu-hai1, DAI Lei2,*   

  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:2019-10-12

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Abstract: Let G be a generalized matrix algebra, φ:G ×G →G be a mapping of G(without assumption of additivity on each argument). if φ satisfies φ(XY,Z)=φ(X,Z)Y+Xφ(Y,Z)and φ(X,YZ)=φ(X,Y)Z+Yφ(X,Z)for all X,Y,Z∈G, then φ is a biderivation.

Key words: generalized matrix algebra, derivation, biderivable map, biderivation

CLC Number: 

  • O177.1
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