JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 134-147.doi: 10.6040/j.issn.1671-9352.0.2023.381

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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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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

CLC Number: 

  • O151.3
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