#13155: Boolean Multivariate Ideals should not have negative dimension....
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Reporter: Bouillaguet | Owner: malb
Type: defect | Status: needs_review
Priority: minor | Milestone: sage-5.2
Component: commutative algebra | Resolution:
Keywords: polybori | Work issues:
Report Upstream: N/A | Reviewers: Martin Albrecht
Authors: Charles Bouillaguet | Merged in:
Dependencies: | Stopgaps:
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Changes (by Bouillaguet):
* status: needs_work => needs_review
Old description:
> 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....
New description:
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#comment:4>
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