On 2012-11-09 11:23, Charles Bouillaguet wrote: > Should we refuse to perform the (not-well defined) division in this case? Yes. Division by zero divisors should *always* be an error. Division by a non-invertible non-zero-divisor is harder to call. In this case, the result should be one of the following two: 1) allow divisions by all non-zero-divisors, with the resulting element in a larger ring (as in ZZ). 2) never allow division by a non-unit.
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