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I'm looking for a proof and/or a hint for this. I just got finished for $n=2$, but got stuck proving it for general $n$, apparently some background knowledge is required that's not present in the book.

InsertNameHere
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    https://math.stackexchange.com/questions/67148/if-a3-a-for-all-a-in-a-ring-r-then-r-is-commutative – Angina Seng Sep 18 '17 at 17:56
  • Thanks, I already saw that. I'm looking for the general case of n>=2 though. Edited accordingly. – InsertNameHere Sep 18 '17 at 18:00
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    Read the whole page.... – Angina Seng Sep 18 '17 at 18:00
  • @InsertNameHere One of the solution at that link did answer the general question, if you would have read down to it. The one I linked to happens to be a very similar answer by the same user. Hopefully with this link, it will be harder to miss the general solution provided. – rschwieb Sep 18 '17 at 18:01

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