On Monday, May 30, 2016 at 9:55:16 AM UTC-7, Alec Edgington wrote:
>
> On Monday, 30 May 2016 17:19:54 UTC+1, Nils Bruin wrote:
>>
>> 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
>>
>
> Thanks, that seems to be the problem. I also note the code comment "The 
> whole quotient stuff relies in I.reduce(x) returning a normal form of x 
> with respect to I.". Evidently this is not a good assumption!
>
This is now http://trac.sagemath.org/ticket/20722 . First try is there. 
Some unexpected consequences (the univariate problem might have been solved 
already). An expert on quotients of "letterplace" free algebras is required.

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