#10708: Ideal dimension wrong, depends on term order.
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Reporter: vbraun | Owner: AlexGhitza
Type: defect | Status: new
Priority: major | Milestone:
Component: algebra | Keywords: Singular ideal dimension
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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The dimension of an ideal, that is the Krull dimension of the quotient
`R/I`, does not depend on the monomial order. But
{{{
sage: P.<x,y> = PolynomialRing(QQ,order='neglex')
sage: P.ideal(x).dimension()
1
sage: P.ideal(x-1).dimension()
-1
}}}
I think this uses Singular "ls" ordering which is related to the
localization at `<x,y>` though I have never used (or properly understood)
that functionality in Singular.
Maybe we need to change the term order to a global one internally?
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10708>
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