#20722: Comparison in polynomial quotient rings
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Reporter: nbruin | Owner:
Type: PLEASE CHANGE | Status: new
Priority: major | Milestone: sage-7.3
Component: PLEASE CHANGE | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/nbruin/comparison_in_polynomial_quotient_rings|
45d7f4e294356ef1a5fc7a391314506c66aaf061
Dependencies: | Stopgaps:
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Changes (by nbruin):
* commit: => 45d7f4e294356ef1a5fc7a391314506c66aaf061
Comment:
First try. Seems to work for the most part, except for one doctest
{{{
sage: F.<x,y,z> = FreeAlgebra(QQ,
implementation='letterplace')
sage: I = F*[x*y+y*z,x^2+x*y-y*x-y^2]*F
sage: Q = F.quo(I)
sage: Q.0^4 # indirect doctest
ArithmeticError: Can only subtract elements of the same degree
}}}
which I think is a bug in the implementation of Q: if you can only work in
the homogeneous parts, it's a disjoint union of modules; not a ring, and
it shouldn't have any business trying to use ring machinery.
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New commits:
||[http://git.sagemath.org/sage.git/commit/?id=45d7f4e294356ef1a5fc7a391314506c66aaf061
45d7f4e]||{{{trac 20722: Base QuotientRingElement._cmp_ on ideal
membership}}}||
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Ticket URL: <http://trac.sagemath.org/ticket/20722#comment:2>
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