#3330: multivariate polynomial GCD should work over more base rings
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Reporter: cwitty | Owner: malb
Type: enhancement | Status: new
Priority: major | Milestone: sage-wishlist
Component: commutative algebra | Keywords:
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Comment(by bisson):
Replying to [comment:2 AlexGhitza]:
> This actually looks correct to me. I'm cc-ing the original poster so he
can comment on it.
Thanks for letting me know this issue has been fixed, and many thanks to
the people who fixed it.
Something a little bit weird happens if I try to verify Sage's output:
{{{
sage: R.<a,b> = NumberField(x^2-3,'g').extension(x^2-7,'h')[]
sage: h = R.base_ring().gen()
sage: S.<y> = R.fraction_field()[]
sage: xgcd(y^2, a*h*y+b)
(b^2/(7*a^2), 1, ((-1)/(h*a))*y + b/(7*a^2))
sage: y^2+(((-1)/(h*a))*y + b/(7*a^2))*(a*h*y+b)
h*a*b^2/(7*h*a^3)
}}}
As you see, the output is not simplified as b^2^/(7a^2^); is there a
reason for that?
I am not opening a new ticket because I would like to have your opinion on
whether it really is a bug or not before possibly doing so.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/3330#comment:3>
Sage <http://sagemath.org/>
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