%0 Journal Article %T A note on commuting graphs of matrix rings over fields %A C. Miguel %J Mathematics %D 2015 %I arXiv %X We will give a short proof of the fact that if the algebraic closure of a field $\mathbb F$ is a finite extension, then for $n\geq 3$ the commuting graph $\Gamma(M_n(\mathbb F))$ is connected and its diameter is four. %U http://arxiv.org/abs/1501.01030v3