technically, you'd need some restriction on your z, otherwise z + y is just as good a solution, for n = n - 1. And besides, why would you ever want to look at things mod 0? - if it ever happens, it's probably an error, so might as well report it.

Also, how do you define the restriction for other additive groups? For vectors you could look at the norm - but that's a consequence of the very very natural and useful multiplication between vectors, ie dot product...

In reply to Re^2: Illegal Modulus zero by ivancho
in thread Illegal Modulus zero by Anonymous Monk

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