#13903: polynomial .reduce returns type int over p-adic field
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Reporter: bhutz | Owner: AlexGhitza
Type: defect | Status: new
Priority: minor | Milestone: sage-5.6
Component: algebra | Keywords: polynomial reduce
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Ben Hutz
Merged in: | Dependencies:
Stopgaps: |
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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
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13903>
Sage <http://www.sagemath.org>
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