#17638: Division of polynomials produces errors when using local orderings
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Reporter: enriqueartal | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.5
Component: algebraic geometry | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Consider two polynomials f,g in a ring define using a local ordering,
e.g.,
R.<x,y>=PolynomialRing(QQ,order='neglex')
If the leading monomial of g is 1 then f/g will produces a wrong result,
namely f divided by the independent coefficient of g. Note that in that
case g.is_unit() yields True, since for Singular R is not Q[x,y] but the
ordering localization (i.e., one can divide by the polynomials whose
leading monomial is 1).
PS: It is my first ticket, I apologize for the mistakes.
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Ticket URL: <http://trac.sagemath.org/ticket/17638>
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