广义矩阵代数上的零点Lie高阶可导映射

吉林大学学报(理学版) ›› 2026, Vol. 64 ›› Issue (5): 987-0992.

广义矩阵代数上的零点Lie高阶可导映射

刘丹

江苏第二师范学院数学科学学院, 南京 211200

收稿日期:2026-01-13 出版日期:2026-09-26 发布日期:2026-09-26
通讯作者: 刘丹 E-mail:ldyfusheng@126.com

Lie Higher Derivable Mappings of Generalized Matrix Algebras at Zero Points

Liu Dan#br#

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School of Mathematical Sciences, Jiangsu Second Normal University, Nanjing 211200, China

Received:2026-01-13 Online:2026-09-26 Published:2026-09-26

摘要/Abstract

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.

关键词: 广义矩阵代数, 零点Lie高阶可导映射, 高阶导子

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.

Key words: generalized matrix algebra, Lie higher derivable mapping at zero point, higher derivation

中图分类号:

O177.1

刘丹. 广义矩阵代数上的零点Lie高阶可导映射[J]. 吉林大学学报(理学版), 2026, 64(5): 987-0992.

Liu Dan. Lie Higher Derivable Mappings of Generalized Matrix Algebras at Zero Points[J]. Journal of Jilin University Science Edition, 2026, 64(5): 987-0992.

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