On Tuesday, May 1, 2018 at 9:10:27 AM UTC-7, vdelecroix wrote:
>
> Dear all, 
>
> How should be defined division in non-integral domains like Zmod(6)? The 
> following looks a bit incoherent to me 
>
> PPS: people with access to magma are welcome to report! 
>

Magma complains about division by a non-unit. It does allow "div", but it 
also allows 5 div 2 in ZZ/6.

I think the problem for "/" is division by a zero-divisor. Otherwise an 
answer can be returned in a structure where an inverse has been adjoined.

The ZeroDivisionError is therefore spot-on, if you read it as an 
abbreviation of ZeroDivisorDivisionError. Using non-unit as abbreviation 
for zero-divisor in Z/nZ is pretty common too. I don't think a change is 
necessary.


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