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Polynomial is in ideal of a coordinate ring

asked 2022-08-25 15:57:19 +0100

narodnik gravatar image

I am getting an error with the code below. Please advise how I can do this. Thanks

sage: K.<x> = QQ[]
sage: _.<y> = K[]
sage: K.<y> = K.extension(y^2 - x^3 - x)
sage: I = Ideal(x, y)
sage: I
Ideal (x, y) of Univariate Quotient Polynomial Ring in y over Univariate Polynomial Ring in x over Rational Field with modulus y^2 - x^3 - x
sage: x - y^2 + x^3 in I
...
NotImplementedError:
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answered 2022-08-25 16:08:03 +0100

narodnik gravatar image

This works:

sage: K.<x, y> = QQ[]
sage: I = Ideal(y^2 - x^3 - x)
sage: L.<X, Y> = K.quotient(I)
sage: I = Ideal(X, Y)
sage: I
Ideal (X, Y) of Quotient of Multivariate Polynomial Ring in x, y over Rational Field by the ideal (-x^3 + y^2 - x)
sage: X - Y^2 + X^3 in I
True
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Asked: 2022-08-25 15:57:19 +0100

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Last updated: Aug 25 '22