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《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (11): 134-147.doi: 10.6040/j.issn.1671-9352.0.2023.381

• • 上一篇    

广义矩阵代数上的李三重导子

庄金洪1,陈艳平1,谭宜家2*   

  1. 1.福建商学院信息工程学院, 福建 福州 350102;2.福州大学数学与统计学院, 福建 福州 350108
  • 发布日期:2025-11-11
  • 通讯作者: 谭宜家(1962— ),男,教授,硕士生导师,研究方向为矩阵代数及其应用. E-mail:yjtan62@126.com
  • 作者简介:庄金洪(1982— ),男,讲师,研究方向为矩阵代数及其应用. E-mail:zhuangjh8@163.com
  • 基金资助:
    国家自然科学基金资助项目(11971111);福建省自然科学基金资助项目(2024J01992)

Lie triple derivations on a generalized matrix algebra

ZHUANG Jinhong1, CHEN Yanping1, TAN Yijia2*   

  1. 1. College of Information Engineering, Fujian Business University, Fuzhou 350102, Fujian, China;
    2. School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, Fujian, China
  • Published:2025-11-11

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摘要： 研究广义矩阵代数上零点李三重导子的结构,获得广义矩阵代数上零点李三重导子可表为1个导子、1个奇异Jordan导子和1个中心值映射之和的等价条件。结果推广三角代数的相应结论。

关键词: 广义矩阵代数, 李三重导子, 导子, 奇异Jordan导子

Abstract: The structure of Lie triple derivations at zero point on a generalized matrix algebra is studied,and an equivalent condition for a Lie triple derivation at zero point to be expressed as the sum of a derivation, a singular Jordan derivation and a linear map from the generalized matrix algebra to its center is obtained. Partial results obtained in the paper generalize the corresponding results for triangular algebras.

Key words: generalized matrix algebra, Lie triple derivation, derivation, singular Jordan derivation

中图分类号: 

  • O151.3
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