三角代数上的交换零点ξ-Lie高阶可导映射

Commutative Zero Point ξ-Lie Higher Derivable Maps on Triangular Algebras

设u是数域F上的一个三角代数.若D={dk}k∈N是u上的一个交换零点ξ-Lie(ξ≠1)高阶可导映射且dk(1)=0,■k∈N^+,则D是高阶导子.

Let u be a triangular algebra over a number field F.If D={dk}k∈N is a commutative zero pointξ-Lie(ξ≠1)higher derivable mapping from u into itself with dk(1)=0(■k∈N^+),then D is a higher derivation.