#12839: reduced Groebner basis not unique
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Reporter: mariah | Owner: malb
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: commutative algebra | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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Using sage-4.8
{{{
sage: R.<x,y> = PolynomialRing(ZZ)
sage: I = R*[x^2-y, 2*y]
sage: J = R*[x^2+y, 2*y]
}}}
{{{I}}} and {{{J}}} are visibly the same ideal, but Sage finds different
reduced Groebner bases:
{{{
sage: I.groebner_basis()
[x^2 - y, 2*y]
sage: J.groebner_basis()
[x^2 + y, 2*y]
sage: I == J // should say True
False
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12839>
Sage <http://www.sagemath.org>
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