>From the Singular documentation [1]:

"Hence any finitely generated [image: $R$]-module can be represented in S
INGULAR by its module of relations."

[1] https://www.singular.uni-kl.de/Manual/4-0-3/sing_134.htm

On Tuesday, 22 October 2019 22:51:45 UTC+2, Bill Hart wrote:
>
>
>
> On Friday, 18 October 2019 15:21:05 UTC+2, Dima Pasechnik wrote:
>>
>> Hi, 
>> well, Sage's functionality for modules over polynomial rings is quite 
>> limited. 
>> It assumes that a submodule of a free module is free. 
>>
>
> In what way does it assume this? There are limitations, but I'm not so 
> sure I would summarise them like this.
>
> We discussed this at length at a recent Sage/Macaulay2 coding sprint at 
>> IMA, 
>> and concluded that it would be quite a bit of work to do. 
>>
>
> There is a major effort planned/underway to implement more sophisticated 
> modules (in fact as I understand it, J. Boehm already has a prototype/first 
> implementation in Singular itself, conducted under his supervision by a 
> student). 
>

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