Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (4): 855-859.

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T*-Extensions of δ-Hom-Jordan Lie Color Algebras

MA Lili, DAI Di, LI Qiang, WANG Xiaoyan   

  1. School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang Province, China
  • Received:2020-11-16 Online:2021-07-26 Published:2021-07-26

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Abstract: We first constructed T*-extensions of δ-Hom-Jordan Lie color algebras by 2-cocycle and co-adjoint representation, obtained the solvability and nilpotency of the T*-extension T*ωL, and then we gave sufficient condition of the decomposability of the trivial T*-extension T*0L.

Key words: δ-Hom-Jordan Lie color algebra, 2-cocycle, T*-extension

CLC Number: 

  • O152.5
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