三角代数上Lie积为平方零元的非线性三阶可导映射

Nonlinear Three Derivable Mappings with the Lie Product of Square Zero Elementson Triangular Algebras

对三角代数上Lie积为平方零元的非线性双可导映射进行推广,给出三导子和Lie积为平方零元的非线性三阶可导映射的定义,研究Lie积为平方零元的非线性三阶可导映射的三个性质,证明三角代数上Lie积为平方零元的非线性三阶可导映射也是一个三导子.

The nonlinear double derivable mapping on triangular algebras with Lie product as square zero element is generalized.This paper gives the definition of the three derivations and nonlinear third order derivable mapping with Lie product as square zero element,studies Three properties of the nonlinear third order derivable mapping with Lie product as square zero element,and proves that the nonlinear third-order derivable mapping on triangular algebras with Lie product as square zero element are also three derivations.