On Friday, January 19, 2018 at 9:16:16 AM UTC+1, vdelecroix wrote:

> I think that it should be False in both situations. "is_submodule" 
> should only be used in the context where we have an ambient free 
> module, like ZZ^d and two ZZ-submodules U and V. 
>
I disagree - the question makes perfect sense if U and V do not lie in the 
same ambient module but in the same ambient vectorspace.  
(ZZ^2).span([[1,0]]).is_submodule((ZZ^2).span([[1/2,0]]))
Should definitely return True.

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