On Tue, Oct 1, 2024 at 11:46 AM Dima Pasechnik <dimp...@gmail.com> wrote:
>
> This is a usual discrepancy between the univariate and multi-variable
> case: the backends are different, and probably the functionality
> is not implemented in the univariate backend (Flint?).
> I gather it can be implemented using a resultant computation.

Basically, if f(t) and g(t) are two univariate polynomials, then
P(x,y):=Res_t(f(t)-x, g(t)-y)) is
a relation between f and g,as P(f(t),g(t))=0, and P(x,y) is identically 0.

>
> Dima
>
>
> On Tue, Oct 1, 2024 at 9:30 AM Georgi Guninski <ggunin...@gmail.com> wrote:
> >
> > sage: Kx.<x,y>=QQ[]
> > sage: l=[x,x^2]
> > sage: ge=Sequence(l).algebraic_dependence().gens();ge
> > [-T1 + T0^2]
> >
> > sage: Kx.<x>=QQ[]
> > sage: l=[x,x^2]
> > sage: ge=Sequence(l).algebraic_dependence().gens();ge
> > AttributeError: 'Sequence_generic' object has no attribute
> >
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