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

2015/10/25 by Miguel, C.
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1510.07304

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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