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Induced Maps on Matrices over Fields

Author

Listed:
  • Li Yang
  • Xuezhi Ben
  • Ming Zhang
  • Chongguang Cao

Abstract

Suppose that is a field and are integers. Denote by the set of all matrices over and by the set . Let ( ) be functions on , where stands for the set . We say that a map is induced by if is defined by . We say that a map on preserves similarity if , where represents that and are similar. A map on preserving inverses of matrices means for every invertible . In this paper, we characterize induced maps preserving similarity and inverses of matrices, respectively.

Suggested Citation

  • Li Yang & Xuezhi Ben & Ming Zhang & Chongguang Cao, 2014. "Induced Maps on Matrices over Fields," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, February.
    • Handle: RePEc:hin:jnlaaa:596756
    DOI: 10.1155/2014/596756
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    Cited by:

    1. Sandeep Kaur & Tareq M. Al-shami & Alkan Özkan & M. Hosny, 2023. "A New Approach to Soft Continuity," Mathematics, MDPI, vol. 11(14), pages 1-11, July.

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