Beste Ricardo,

AJB, zie https://trac.sagemath.org/ticket/27508#comment:50

mvg
Dima

On Fri, Apr 17, 2020 at 11:18 PM Ricardo Buring
<[email protected]> wrote:
>
> On Friday, April 17, 2020 at 4:04:10 PM UTC+2, Dima Pasechnik wrote:
>>
>> I think this is
>> https://trac.sagemath.org/ticket/27508
>> which needs an effort to fix, as it's far from easy.
>>
>
> Dear Dima,
>
> If I'm not mistaken: For the documentation of SageMath's reduce to become 
> correct ("No term in r is divisible by any of the leading monomials of I") 
> tail reduction should always be done.
> My impression is that your two-line patch 
> https://trac.sagemath.org/ticket/27508#comment:36 achieves this and hence 
> fixes the issue.
> (One could consider changing the documentation of reduce, but still the 
> variant which it currently describes seems to me the most common 
> interpretation.)
> The rest of the discussion seems to be about how to use the (lib)Singular 
> interface better, which would be more elegant, but it seems not essential for 
> fixing this issue.
>
> Best wishes,
> Ricardo
>
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