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On the Diameter of the Commuting Graph of a Full Matrix Ring over a Division Ring
Published 25 Oct 2015 in math.RA | (1510.07304v1)
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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