Journal of Lanzhou University of Technology

Journal of Lanzhou University of Technology ›› 2022, Vol. 48 ›› Issue (3): 163-168.

• Scientific • Previous Articles     Next Articles

Super-biderivations and super-commuting maps on super Lie algebras Alg(K3,ω3)

HUANG Zhong-xian1,2   

  1. 1. School of Mathematics and Computer, Wuyi University, Wuyishan 354300, China;
    2. Fujian Key Laboratory of Big Data Application and Intellectualization for Tea Industry, Wuyishan 354300, China
  • Received:2021-09-03 Online:2022-06-28 Published:2022-10-09

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Abstract: Using the basic properties of super double derivations, the super-skewsymmetric super-biderivations of the super Lie algebras Alg(K3,ω3) are determined, and it is proved that all super-biderivations of the Alg(K3,ω3) are inner derivations. Furthermore, it is obtained that the linear super-commuting map of the Alg(K3,ω3) is standard.

Key words: super-biderivation, super-commuting map, super Lie algebras Alg(K3,ω3), skew-symmetric

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