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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