Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (4): 861-865.

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Superderivations and Restricted Superderivations of Restricted Filiform Lie Superalgebra

ZHANG Chao, YUAN Jixia   

  1. School of Mathematical Science, Heilongjiang University, Harbin 150080, China
  • Received:2021-09-26 Online:2022-07-26 Published:2022-07-26

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Abstract: We proposed a restricted structure of a filiform Lie superalgebra, and discussed the (restricted) superderivations  algebra of this restricted Lie superalgebra. Firstly, the superderivations algebra was given by using this Z2×Z-graded structure of this restricted filiform  Lie superalgebra. Secondly, it was proved that the superderivations of the restricted Lie superalgebra were all restricted superderivations.

Key words: filiform Lie superalgebra, superderivation, restricted superderivation

CLC Number: 

  • O154.2
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