#18598: reduce method of polynomial ideals gives incorrect results
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Reporter: lftabera | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.8
Component: algebra | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The following fails
{{{
sage:
K=PolynomialRing(QQ,'x,y,a0,a1',order=TermOrder('degrevlex',2)+TermOrder('degrevlex',2))
sage: x,y,a0,a1=K.gens()
sage: f = x**3+x**2*y
sage: m = Ideal(x**4,x**2*y,y**2)
sage: m.reduce(f) == f.reduce(m.groebner_basis())
False
sage: m.reduce(f)
x^3 + x^2*y
sage: f.reduce(m.groebner_basis())
x^3
}}}
The reduction should be {{{x^3}}}. Singular computes correctly the
reduction, so the problem is in the Sage library.
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Ticket URL: <http://trac.sagemath.org/ticket/18598>
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