#10708: Ideal dimension wrong, depends on term order.
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Reporter: vbraun | Owner: malb
Type: defect | Status: new
Priority: major | Milestone:
Component: commutative algebra | Resolution:
Keywords: Singular ideal dimension | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by Bouillaguet):
In fact, we have two options :
* either we close this ticket as invalid, acknowledging that the use of
"local" orders is fine, and that users should know what they are doing
(i.e. the singular approach).
* or we prevent users from using "local" orders in the same way they would
use normal orders (for instance by requesting them to explicitly pass a
{{{Localization=True}}} flag to the {{{PolynomialRing}}} constructor).
This way, our intuitive understanding of most properties (e.g., the ideal
dimension, or content) would not depend on the term order, unless the user
explicitly says so.
I vote for the second one...
Charles
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10708#comment:10>
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