On 08/18/2015 11:28 PM, Prof. Dr. Johannes Grabmeier FW wrote:
> so let me add one first counterexample myself:

Perhaps not a real (counter-)example, but if we include near-rings,

https://en.wikipedia.org/wiki/Near-ring

then there are certainly cases that have non-abelian addition.
An example is given on the above page.

Ralf

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