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2023-11-29 09:25:32 +0200 commented answer Coercion - polynomial in two variable/polynomial in one variable over function field

Thanks! I tried distinguishing only y earlier, but it wasn't enough.

2023-11-29 09:24:49 +0200 marked best answer Coercion - polynomial in two variable/polynomial in one variable over function field

I need to convert a polynomial $P \in \overline{\mathbb F}_p[x, y]$ to a polynomial in $\overline{\mathbb F}_p(x)[y]$. The following code works when the first line is replaced by F = GF(3), but at present it returns "ValueError: finite field modulus must be irreducible but it is not".

F = GF(3).algebraic_closure()
Rxy.<x, y> = PolynomialRing(F, 2)
g = x*y
Rx.<x> = PolynomialRing(F)
Fx = FractionField(Rx)
FxRy.<y> = PolynomialRing(Fx)
h = FxRy(g)
print(h)

Is there an easy fix? What is the reason? Edit: checked on SageMath 10.1 (on cocalc).

2023-11-29 09:24:49 +0200 received badge  Scholar (source)
2023-11-28 23:39:46 +0200 edited question Coercion - polynomial in two variable/polynomial in one variable over function field

Coercion - polynomial in two variable/polynomial in one variable over polynomial ring I need to convert a polynomial $P

2023-11-28 23:26:15 +0200 commented question Coercion - polynomial in two variable/polynomial in one variable over function field

Yes, I made a mistake in the description, I meant the polynomial ring over the function field. Version is 10.1 via coca

2023-11-28 23:24:50 +0200 received badge  Editor (source)
2023-11-28 23:24:50 +0200 edited question Coercion - polynomial in two variable/polynomial in one variable over function field

Coercion - polynomial in two variable/polynomial in one variable over polynomial ring I need to convert a polynomial $P

2023-11-28 22:17:18 +0200 asked a question Coercion - polynomial in two variable/polynomial in one variable over function field

Coercion - polynomial in two variable/polynomial in one variable over polynomial ring I need to convert a polynomial $P