#17840: Factorization of multivariate polynomials over the integers
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Reporter: bruno | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.6
Component: factorization | Resolution:
Keywords: multivariate | Merged in:
integer polynomial | Reviewers:
Authors: Bruno Grenet | Work issues:
Report Upstream: N/A | Commit:
Branch: | 2f1962e623f4ab8ae305e05306579dfd0b4c2ce8
u/bruno/factorization_of_multivariate_polynomials_over_the_integers|
Stopgaps:
Dependencies: |
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Comment (by bruno):
Replying to [comment:10 jdemeyer]:
> You should add an example where the factorisation currently fails (say,
over the ring of integers of some number field).
Actually, polynomials over the ring of integers of a number field belong
to the class `MPolynomial_polydict` (defined in
`multi_polynomial_element.py`) and not to `MPolynomial_libsingular`
(defined in `multi_polynomial_libsingular.pyx`). So it does not make sense
to test this in this file.¹
It would be interesting to have such an example of a non-working case.
Though I do not know for which ring(s) do the polynomials belong to the
class `MPolynomial_libsingular`.
¹ One may do the same thing for rings of integers of a number field to
obtain a factorization algorithm. The point is that the returned factors
are not in the rings of integers in this case, so we have to reconstruct
them. It's a bit more work than in the current case.
--
Ticket URL: <http://trac.sagemath.org/ticket/17840#comment:12>
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