On the Diameter of the Commuting Graph of a Full Matrix Ring over a Division Ring
Rings and Algebras
2016-10-31 v1
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 . Furthermore, we prove that if the commuting graph is connected, then its diameter is between four and six.
Cite
@article{arxiv.1510.07304,
title = {On the Diameter of the Commuting Graph of a Full Matrix Ring over a Division Ring},
author = {C. Miguel},
journal= {arXiv preprint arXiv:1510.07304},
year = {2016}
}