#10355: containment for multivariate polynomial rings
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Reporter: niles | Owner: malb
Type: defect | Status: new
Priority: major | Milestone:
Component: commutative algebra | Keywords: multivariate polynomial
containment
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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A bug in containment for multivariate polynomial rings:
{{{
sage: A1.<a> = PolynomialRing(QQ)
sage: 3 in A1
True
sage: A2.<a,b> = PolynomialRing(QQ)
sage: 3 in A2
False
sage: A1(a) in A2
False
}}}
This occurs because `__contains__(self,x)` for multivariate polynomial
rings simply tests whether the parent of `x` is `self`. Instead, it
should inherit `__contains__` from the class `Parent`. Further discussion
can be found on this [http://groups.google.com/group/sage-
devel/browse_thread/thread/dab74506d9ff94bf sage-devel thread].
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10355>
Sage <http://www.sagemath.org>
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