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A note on commuting graphs of matrix rings over fields

Published 5 Jan 2015 in math.RA | (1501.01030v3)

Abstract: 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.

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Authors (1)

  1. C. Miguel 

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