#12404: is_squarefree() incorrect over imperfect fields
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Reporter: saraedum | Owner:
malb
Type: defect | Status:
needs_review
Priority: minor | Milestone:
Component: commutative algebra | Resolution:
Keywords: sd40.5 | Work issues:
coherence with squarefree_decomposition, fix error
Report Upstream: Not yet reported upstream; Will do shortly. | Reviewers:
Paul Zimmermann
Authors: Julian Rueth | Merged in:
Dependencies: #9054, #12988 | Stopgaps:
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Changes (by saraedum):
* status: needs_info => needs_review
Old description:
> The method {{{is_squarefree()}}} is incorrect for polynomials over
> function fields over finite fields:
>
> {{{
> sage: K.<x> = FunctionField(GF(3))
> sage: R.<T> = K[]
> sage: f=T^3-x
> sage: f.factor(proof=False)
> T^3 + 2*x
> sage: f.is_squarefree()
> False
> }}}
New description:
The method {{{is_squarefree()}}} is incorrect for polynomials over
function fields over finite fields:
{{{
sage: K.<x> = FunctionField(GF(3))
sage: R.<T> = K[]
sage: f=T^3-x
sage: f.factor(proof=False)
T^3 + 2*x
sage: f.is_squarefree()
False
}}}
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Apply:
1. [[attachment:trac_12404.patch]]
1. [[attachment:trac_12404_warning.patch]]
to the sage library.
--
Comment:
I made a few docstring changes in the latest patch.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12404#comment:13>
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