广义矩阵代数上的零点Lie高阶可导映射

Lie Higher Derivable Mappings of Generalized Matrix Algebras at Zero Points

摘要

考虑广义矩阵代数上零点Lie高阶可导映射的结构,首先,用代数分解方法证明广义矩阵代数上的每个零点Lie高阶可导映射可表示为高阶导子与中心值映射之和.其次,作为应用,给出三角代数上零点Lie高阶可导映射的具体形式.

Abstract

The structure of Lie higher derivable mappings at the zero point on generalized matrix algebras is investigated. Firstly, using the method of algebraic decomposition, the author proves that every Lie higher derivable mapping at the zero point can be expressed as the sum of a higher derivation and a center-valued mapping. Secondly, as an application, the explicit form of Lie higher derivable mappings at the zero point on triangular algebras is obtained.

关键词

广义矩阵代数 / 零点Lie高阶可导映射 / 高阶导子

Key words

generalized matrix algebra / Lie higher derivable mapping at zero point / higher derivation

参考文献

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基金资助

国家自然科学基金(11901248)

江苏省“青蓝工程”资助项目