On Monday, May 30, 2016 at 5:19:54 PM UTC+1, Nils Bruin wrote:
>
> On Monday, May 30, 2016 at 8:56:19 AM UTC-7, Alec Edgington wrote:
>>
>>
>>
>> It seems that there is a problem with the internal representations and in 
>> some cases equality is not being ascertained correctly.
>>
>> The problem seems to be this:
>
> sage: u=c*(d+e)
> sage: v=c*d+c*e
> sage: I.reduce(u.lift()) == I.reduce(v.lift())
> False
>
> whereas:
>
> sage: u.lift() - v.lift() in I
> True
>
> Currently, u.__cmp__ uses the former to test equality, and it should 
> probably use the latter. The reasoning is argued in the code. It looks like 
> univariate polynomial ideals should just get a containment test implemented
>

IMHO ideals of univariate polynomial rings should have all the meaningful 
methods of the multivariate ones...  

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