#13155: Boolean Multivariate Ideals should not have negative dimension....
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Reporter: Bouillaguet | Owner: malb
Type: defect | Status: new
Priority: major | Milestone: sage-5.2
Component: commutative algebra | Keywords: polybori
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Charles Bouillaguet
Merged in: | Dependencies:
Stopgaps: |
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The dimension of an ideal cannot be negative (it would be mathematically
incoherent). Yet, in SAGE, it is possible to create Boolean Ideals of
dimension -1.....
{{{
sage: n=11
sage: R = BooleanPolynomialRing(n, 'x')
sage: R2 = PolynomialRing(GF(2), n, 'x')
sage: I = ideal([ R(f) for f in sage.rings.ideal.Cyclic(R2, n).gens() ])
sage: I.dimension()
-1
}}}
In fact, all the BooleanPolynomialIdeal's should have dimension zero. Thus
I suggest to overload the dimension() method to just return zero....
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13155>
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