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
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