#29625 closed enhancement (fixed)
support for weighted term orders in normal_basis
Reported by: | gh-mwageringel | Owned by: | |
---|---|---|---|
Priority: | minor | Milestone: | sage-9.1 |
Component: | commutative algebra | Keywords: | singular |
Cc: | klee, tscrim, heluani | Merged in: | |
Authors: | Markus Wageringel | Reviewers: | Travis Scrimshaw |
Report Upstream: | N/A | Work issues: | |
Branch: | f0604bd (Commits, GitHub, GitLab) | Commit: | f0604bdabdea49d78d8312615b3722f4566702b4 |
Dependencies: | Stopgaps: |
Description
As a follow-up to #29543, this ticket changes the normal_basis
method of ideals to handle the case of weighted term orders.
With this change, the degree of the monomials in the normal basis is taken with respect to the weighted degree (which agrees with Sage's notion of degree).
sage: R.<x,y,z> = PolynomialRing(QQ, order=TermOrder('wdegrevlex', (1, 2, 3))) sage: I = R.ideal(x*y^2 + x^5, z*y + x^3*y) sage: I.normal_basis(degree=9) [x^2*y^2*z, x^3*z^2, x*y*z^2, z^3] sage: all(f.degree() == 9 for f in _) True
This also came up in an Ask SageMath question.
The implementation uses the Singular function weightKB.
Change History (4)
comment:1 Changed 18 months ago by
- Branch set to u/gh-mwageringel/29625
- Commit set to f0604bdabdea49d78d8312615b3722f4566702b4
- Status changed from new to needs_review
comment:2 Changed 18 months ago by
- Reviewers set to Travis Scrimshaw
- Status changed from needs_review to positive_review
LGTM.
comment:3 Changed 18 months ago by
- Branch changed from u/gh-mwageringel/29625 to f0604bdabdea49d78d8312615b3722f4566702b4
- Resolution set to fixed
- Status changed from positive_review to closed
comment:4 Changed 18 months ago by
- Milestone changed from sage-9.2 to sage-9.1
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29625: support weighted term orders in normal_basis