The orthogonal group over a full ring

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on the diameter of the commuting graph of the full matrix ring over the real numbers

‎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 $4$.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1978

ISSN: 0021-8693

DOI: 10.1016/0021-8693(78)90120-5