We classify all Rota–Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which do not arise from the decompositions of the entire algebra into a direct vector space sum of two subalgebras.

中文翻译：

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三阶矩阵代数上非零权重的Rota-Baxter算子

我们在特征零的代数闭域上对三阶矩阵代数上的所有非零权重的 Rota-Baxter 算子进行分类，这不是由整个代数分解为两个子代数的直接向量空间和而产生的。