On the Diameter of the Commuting Graph of a Full Matrix Ring over a Division Ring
classification
🧮 math.RA
keywords
ringcommutinggraphdiameterdivisionmatrixcentercondiction
read the original 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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