冯志阳, 吴明忠. 一类filiform左对称代数的triple导子[J]. 内江师范学院学报, 2023, 38(6): 39-43. DOI:10.13603/j.cnki.51-1621/z.2023.06.007
引用本文: 冯志阳, 吴明忠. 一类filiform左对称代数的triple导子[J]. 内江师范学院学报, 2023, 38(6): 39-43.DOI:10.13603/j.cnki.51-1621/z.2023.06.007
FENG Zhiyang, WU Mingzhong. Triple derivations of a class of filiform left symmetric algebras[J]. Journal of Neijiang Normal University, 2023, 38(6): 39-43. DOI:10.13603/j.cnki.51-1621/z.2023.06.007
Citation: FENG Zhiyang, WU Mingzhong. Triple derivations of a class of filiform left symmetric algebras[J].Journal of Neijiang Normal University, 2023, 38(6): 39-43.DOI:10.13603/j.cnki.51-1621/z.2023.06.007

一类filiform左对称代数的triple导子

Triple derivations of a class of filiform left symmetric algebras

  • 摘要:利用triple导子的定义,对一类filiform左对称代数进行了讨论,通过分析该类代数的结构特点,计算了线性变换在一组"强充分"基上的作用结果,得到了这类filiform左对称代数的triple导子的矩阵形式.

    Abstract:Using the definition of the triple derivation, a class of filiform left symmetric algebras are discussed. By analyzing the structural characteristics of this class of filiform left symmetric algebras, the linear transformation on an "strongly adequate" basis was calculated and the matrical forms of the triple derivations for this type of algebras were worked out.

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