#13671: p.lift(...) results are non-deterministic and incoherent for
multivariate
polynomials
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Reporter: Bouillaguet | Owner: malb
Type: defect | Status: new
Priority: major | Milestone: sage-5.5
Component: commutative algebra | Keywords: polynomial rings,
mathematically wrong result
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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{{{
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...
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13671>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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