On Wednesday, May 15, 2019 at 10:08:05 PM UTC+9, Santanu wrote:
>
>
> What is the value of $\frac{xy}{(x^2 + x + 1) } + 
>>>
>>> \frac{1}{x^2 + x + 1}+$ Place $(x^2 + x + 1, x y + 1)$? 
>>>
>>>
>> You cannot add an element of the function field with a place.
>>
> Actually by this we meant the element modulo the place ( a maximum ideal).
>

Use R.residue_field() for the valuation ring R.  

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