A Family of Maximal Mathieu Subspaces of Matrix Algebras
Abstract
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 Mn(F) (n 2). As an application we also give a classification of Mathieu subspaces of M2(F) under the condition that F is algebraically closed.
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