Primary decomposition in one variable not working
The following doesn't work, it yields a NotImplementedError
:
R.<x> = GF(2)[]
I = R.ideal(x^3+1)
I.primary_decomposition()
However, if I introduce a superfluous variable y
, it works:
R.<x,y> = GF(2)[]
I = R.ideal(x^3+1,y)
I.primary_decomposition()
Compare: https://ask.sagemath.org/question/567...
As far as I understood correctly, PolynomialRing(K)
is the same as K[]
, but PolynomialRing(K,1)
is different. Let's try it out, it works:
R.<x> = PolynomialRing(GF(2),1)
I = R.ideal(x^3+1)
I.primary_decomposition()