#13671: p.lift(...) results are non-deterministic and incoherent for
multivariate
polynomials
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Reporter: Bouillaguet |
Owner: malb
Type: defect |
Status: positive_review
Priority: major |
Milestone: sage-5.5
Component: commutative algebra |
Resolution:
Keywords: polynomial rings, mathematically wrong result | Work
issues:
Report Upstream: N/A |
Reviewers: Marco Streng
Authors: Charles Bouillaguet | Merged
in:
Dependencies: |
Stopgaps:
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Changes (by mstreng):
* status: needs_review => positive_review
* reviewer: => Marco Streng
Old description:
> {{{
> sage: R.<x1,x2> = QQ[]
> sage: I = R.ideal(x2**2 + x1 - 2, x1**2 - 1)
> sage: test = I.gen(0) + x2*I.gen(1)
> sage: test.lift(I) # correct
> [1, x2]
> sage: (test+1).lift(I) # invalid input, should give error
> [0, 0]
> sage: test.lift(I) # incorrect
> [0, 0]
> }}}
>
> p.lift(I) should raise an exception "!ValueError: polynomial is not in
> the ideal" instead of returning [0,0,...,0] in the first place...
New description:
** Merge together with #13675, circular dependency **
{{{
sage: R.<x1,x2> = QQ[]
sage: I = R.ideal(x2**2 + x1 - 2, x1**2 - 1)
sage: test = I.gen(0) + x2*I.gen(1)
sage: test.lift(I) # correct
[1, x2]
sage: (test+1).lift(I) # invalid input, should give error
[0, 0]
sage: test.lift(I) # incorrect
[0, 0]
}}}
p.lift(I) should raise an exception "!ValueError: polynomial is not in the
ideal" instead of returning [0,0,...,0] in the first place...
** Merge together with #13675, circular dependency **
--
Comment:
Looks good!
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13671#comment:8>
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