AI 中文总结
本研究明确特征零代数闭域上迹为零的n阶矩阵，可分解为两个严格n-零矩阵之和，解决了Jordan矩阵分解的相关问题。
AI 中文摘要
本研究探讨n阶Jordan矩阵可表示为两个严格n-零矩阵之和的条件。特别地，我们证明：若𝔽是特征为零的代数闭域，A是𝔽上的n阶矩阵且满足tr(A)=0，则A可分解为两个严格n-零矩阵之和。
英文摘要
In this work we investigate when an $n\times n$ Jordan matrix can be written as the sum of two strictly $n$-zero matrices. In particular, we show that if $\mathbb{F}$ is an algebraically closed field of characteristic zero and $A$ is an $n\times n$ matrix over $\mathbb{F}$ with $\tr(A)=0$, then $A$ is the sum of two strictly $n$-zero matrices.
Comments9 pages
Journal refLinear and Multilinear Algebra Volume 71, 2023, pp 2474-2483
DOI：10.1080/03081087.2022.2105786
