• Title of article

    ON THE DIAMETER OF THE COMMUTING GRAPH OF THE FULL MATRIX RING OVER THE REAL NUMBERS

  • Author/Authors

    Grau ، J. M. - Universidad de Oviedo , OLLER-MARCEN ، A. M. Centro Universitario de la Defensa de Zaragoza , Tasis ، C. - Universidad de Oviedo

  • Pages
    5
  • From page
    217
  • To page
    221
  • Abstract
    In a recent paper C. Miguel proved that the diameter of the commuting graph of the matrix ring Mn(R) is equal to 4 if either n = 3 or n ≥ 5. But the case n = 4 remained open, since the diameter could be 4 or 5. In this work we close the problem showing that also in this case the diameter is 4.
  • Keywords
    Commuting graph , diameter , idempotent matrix
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Serial Year
    2017
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2456166