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A Family of Maximal Mathieu Subspaces of Matrix Algebras

Rings and Algebras 2022-06-06 v1

Abstract

Let FF 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)M_n(F) (n2)(n\ge 2). As an application we also give a classification of Mathieu subspaces of M2(F)M_2(F) under the condition that FF is algebraically closed.

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Cite

@article{arxiv.2206.01248,
  title  = {A Family of Maximal Mathieu Subspaces of Matrix Algebras},
  author = {George F. Seelinger and Wenhua Zhao},
  journal= {arXiv preprint arXiv:2206.01248},
  year   = {2022}
}

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11 pages