Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (1): 35-0043.

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Cohomology and Deformations of 3-Lie-Rinehart Color Algebras

TENG Wen1,2, YOU Taijie1   

  1. 1. School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, China;
    2. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China
  • Received:2021-03-25 Online:2022-01-26 Published:2022-01-26

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Abstract: Firstly, by introducing the concept of 3-Lie-Rinehart color algebra and using the representation of 3-Lie-Rinehart color algebras,  we
 discussed its cohomology. Secondly, we gave relationship between 1-cocycle and 2-cocycle of 3-Lie-Rinehart color algebras. Finally, as an application, we characterized the deformations of 3-Lie-Rinehart color algebras by the cohomology theory.

Key words: 3-Lie-Rinehart color algebra, cohomology, deformation

CLC Number: 

  • O152.5
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