A note on commuting graphs of matrix rings over fields
classification
🧮 math.RA
keywords
commutingmathbbalgebraicclosureconnecteddiameterextensionfact
read the original 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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