Journal of Jilin University Science Edition

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Derivations of Weight λ on Lie Supertriple Systems

TANG Xinxin, LIU Ning, ZHANG Qingcheng   

  1. School of Mathematics and Statistics, Northest Normal University, Changchun 130024, China
  • Received:2016-08-31 Online:2017-07-26 Published:2017-07-13
  • Contact: ZHANG Qingcheng E-mail:zhangqc569@nenu.edu.cn

Abstract: By gaving the definition of (θ,φ)derivations of weight λ and Jordan (θ,φ)derivations of weight λ on a Lie supertriple system, we obtained the sufficient conditions for Jordan (θ,φ)derivations of weight λ to be (θ,φ)derivations of weight λ on a Lie supertriple system. We proved that Jordan θderivations of weight λ were θderivations of weight λ on a Lie supertriple system, and extended (θ,φ)derivations on a Lie supertriple system.

Key words: weight λ, derivation, Lie supertriple system, Jordan derivation

CLC Number: 

  • O152.5