#12191: is_squarefree for integer polynomials
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Reporter: mstreng | Owner: AlexGhitza
Type: defect | Status: needs_review
Priority: major | Milestone: sage-4.8
Component: algebra | Keywords: sd35 squarefree integer polynomial
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Description changed by mkosters:
Old description:
> {{{
> sage: P.<x> = ZZ[]
> sage: (4*x).parent()
> Univariate Polynomial Ring in x over Integer Ring
> sage: (4*x).is_squarefree()
> True
> sage: (QQ(4)*x).is_squarefree()
> True
> sage: 4.is_squarefree()
> False
> sage: P(4).is_squarefree()
> True
> }}}
>
> The first and last should of course be False, as {{{2^2}}} is a divisor.
New description:
{{{
sage: P.<x> = ZZ[]
sage: (4*x).parent()
Univariate Polynomial Ring in x over Integer Ring
sage: (4*x).is_squarefree()
True
sage: (QQ(4)*x).is_squarefree()
True
sage: 4.is_squarefree()
False
sage: P(4).is_squarefree()
True
}}}
The first and last should of course be False, as {{{2^2}}} is a divisor.
Apply [attachment:12191_2.patch]
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12191#comment:2>
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