On Saturday, June 9, 2018 at 9:54:03 AM UTC+2, Jeroen Demeyer wrote:
>
> It should stay in the same ring, but what should the result be? I 
> personally would expect (1 // x) == 0 for Laurent polynomials because 
> that extends the // operation (Euclidean division) of ordinary 
> polynomials. 


But thats the thing about //, it is not natural wrt. embedding in a larger 
ring. The whole point is that it throws away information, so you cannot 
expect the diagram to commute:

sage: ZZ(1) // ZZ(2)
0
sage: QQ(1) // QQ(2)
1/2

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