论文标题
矩阵代数的最大MATHIEU子空间家族
A Family of Maximal Mathieu Subspaces of Matrix Algebras
论文作者
论文摘要
令$ f $为一个字段。在本说明中，我们为矩阵代数$ m_n（f）$ $（n \ ge 2）$的最大MATHIEU子空间（或Mathieu-Zhao子空间）提供了建设。作为一个应用程序，我们还将在$ f $是代数关闭的情况下对MATHIEU子空间的分类为$ m_2（f）$。
Let $F$ be a field. In this note we give a construction for a family of maximal Mathieu subspaces (or Mathieu-Zhao subspaces) of the matrix algebras $M_n(F)$ $(n\ge 2)$. As an application we also give a classification of Mathieu subspaces of $M_2(F)$ under the condition that $F$ is algebraically closed.
