Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (4): 18-22.

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BZ Derivations to the Lie Algebra of 4×4 Antisymmetric Matrices Over a Commutative Ring

Liu Weili, Zhang Meili, Lu Huimin, Xie Jun   

  1. Dalian Naval Academy,Dalian 116018,China
  • Online:2016-12-30 Published:2020-09-25

Abstract: Let Rbe a 2-torsion free commutative ring with identity.In this paper the decomposition of an arbitrary BZ derivation to the Lie algebra L4(R)of all 4×4antisymmetric matrices over Rand a sufficient and necessary condition for a BZ derivation to be an inner derivation are given.

Key words:

"> Antisymmetric matrix, Lie algebra, Derivation, Inner derivation, BZ derivation