Title of article :
On the diameter of the commuting graph of the full matrix ring over the real numbers
Author/Authors :
-، - نويسنده Departamento de Matem?ticas‎, ‎Universidad de Oviedo‎. ‎Avenida Calvo Sotelo s/n‎, ‎33007 Oviedo‎, ‎Spain. Grau, J. M. , -، - نويسنده Centro Universitario de la Defensa de Zaragoza‎. ‎Carretera de Huesca s/n‎, ‎50090 Zaragoza‎, ‎Spain. Oller-Marcén, A. , -، - نويسنده Departamento de Matem?ticas‎, ‎Universidad de Oviedo‎. ‎Avenida Calvo Sotelo s/n‎, ‎33007 Oviedo‎, ‎Spain. Tasis, C.
Issue Information :
دوماهنامه با شماره پیاپی 0 سال 2017
Pages :
5
From page :
217
To page :
221
Abstract :
-
Abstract :
‎In a recent paper C‎. ‎Miguel proved that the diameter of the commuting graph of the matrix ring $mathrm{M}_n(mathbb{R})$ is equal to $4$ if either $n=3$ or $ngeq5$‎. ‎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 $4$.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
Record number :
2400335
Link To Document :
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