Hi Luis,
It's actually not a bug, but a missing feature. The problem is that in
the first case R is a *univariate* polynomial ring, and in the second case
it is a multivariate polynomial ring and different functionality is
available in each case. Read the docs for PolynomialRing (via
PolynomialRing?) for more details. To fix your code, just use the
implementation="singular" option to get a multivariate polynomial ring in 1
variable:
R.<x> = PolynomialRing(QQ, implementation="singular")
-William
On Tuesday, August 18, 2020 at 6:31:55 AM UTC-7 Luis Garcia-Puente wrote:
> The following code does not run in a Jupyter notebook inside cocalc
>
> R.<x> = PolynomialRing(QQ)
> f = x^3+6*x^2+12*x+8;
> g = x^2+x-2;
> I = R.ideal([f]);
> J = R.ideal([g]);
> I.intersection(J)
>
> This produces an error that ends with the line:
>
> AttributeError: 'Ideal_1poly_field' object has no attribute 'intersection'
>
> Similarly, we get an error in the following line
>
> I.quotient(J)
>
> AttributeError: 'Ideal_1poly_field' object has no attribute 'quotient'
>
> However, if we use the ring on 2 variables
>
> R.<x,y> = PolynomialRing(QQ)
>
> all computations execute.
>
>
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