Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (6): 1293-1298.

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Structure of Semi-associative 3-Lie Algebras

BAI Ruipu, ZHANG Yan   

  1. College of Mathematics and Information Science, Hebei University, Baoding 071002, Hebei Province, China
  • Online:2020-11-18 Published:2020-11-26

Abstract: We considered a class  of 3-ary algebra: the semi-associative 3-algebra, which did not satisfy completely skew-symmetric and associative law, studied  the derivation structure and centroid structure of semi-associative 3-algebras, and  proved that for any m-dimensional semi-associative 3-algebra A with dim A≤6, the derived algebra A1 was contained in the center Z(A).

Key words: semi-associative 3-algebra, 3-Lie algebra, derivation, centroid

CLC Number: 

  • O152.5