I've looked around the web alittle, and besides hyper-operations it seems there has been little to no attempts at generalizing binary operations. Is there an operation space, where the operators exist. I presume, that this space would need specific curvature, one that would allow repeated addition to be equivalent to multiplication of the reals. The reason why I'm asking is because I believe it will help with some antiderivative I'm trying to find.


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