Author(s)

Weili Liu, Meili Zhang, Huimin Lu

Corresponding Author

Weili Liu

ABSTRACT

Let be a 2-torsion free commutative ring with identity. The authors denote by the Lie algebra consisting of all 4×4 antisymmetric matrices over . This paper gives the definition of extreme BZ derivations of and the decomposition of an arbitrary BZ derivation and a sufficient and necessary condition for a BZ derivation to become the inner derivation.

KEYWORDS

Antisymmetric matrix, lie algebra, derivation, inner derivation, BZ derivation