#13903: polynomial .reduce returns type int over p-adic field
-------------------------------------+--------------------------------------
Reporter: bhutz | Owner: AlexGhitza
Type: defect | Status: new
Priority: minor | Milestone: sage-5.6
Component: algebra | Resolution:
Keywords: polynomial reduce | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Ben Hutz | Merged in:
Dependencies: | Stopgaps:
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Old description:
> The .reduce() function for a polynomial ring can return an 'int' type
> when the base field is a p-adic field.
>
> {{{
> R.<y1,y2>=PolynomialRing(Qp(5),2, order='lex') G=[y1^2^ + y2^2^, y1*y2 +
> y2^2^, y2^3^] type((y2^3^).reduce(G))
> }}}
> It should be returning an element of the polynomial ring.
>
> This was noticed since it causes .variety() to fail.
>
> {{{
> R.<y1,y2>=PolynomialRing(Qp(5),2, order='lex') G=[y1^2^ + y2^2^, y1*y2 +
> y2^2^, y2^3^]
> I=ideal(G)
> I.variety()
> }}}
> Some discussion at: https://groups.google.com/forum/?fromgroups=#!topic
> /sage-support/Ar7z2b5cOic
New description:
The .reduce() function for a polynomial ring can return an 'int' type when
the base field is a p-adic field.
{{{
R.<y1,y2>=PolynomialRing(Qp(5),2, order='lex')
G=[y1^2 + y2^2, y1*y2 + y2^2, y2^3]
type((y2^3).reduce(G))
}}}
It should be returning an element of the polynomial ring.
This was noticed since it causes .variety() to fail.
{{{
R.<y1,y2>=PolynomialRing(Qp(5),2, order='lex')
G=[y1^2 + y2^2, y1*y2 + y2^2, y2^3]
I=ideal(G)
I.variety()
}}}
Some discussion at: https://groups.google.com/forum/?fromgroups=#!topic
/sage-support/Ar7z2b5cOic
--
Comment (by john_perry):
And promptly broke them, as well. (It '''looked''' good before I hit
submit, honest!) Okay, I'll try again...
I can work on this, if no one else has their heart set on it.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13903#comment:2>
Sage <http://www.sagemath.org>
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