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arXiv · 1510.07304

On the Diameter of the Commuting Graph of a Full Matrix Ring over a Division Ring

C. Miguel
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Abstract

For a division ring D, finite dimensional over its center F, we give a condiction for the connectedness of the commuting graph of a matrix ring over $D$. Furthermore, we prove that if the commuting graph is connected, then its diameter is between four and six.

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C. Miguel. 2015-10-25. On the Diameter of the Commuting Graph of a Full Matrix Ring over a Division Ring. https://arxiv.org/abs/1510.07304

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