#18251: CombinatorialFreeModule should use coercion for comparisons
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       Reporter:  tscrim    |        Owner:  tscrim
           Type:  defect    |       Status:  new
       Priority:  critical  |    Milestone:  sage-6.7
      Component:  coercion  |   Resolution:
       Keywords:  zero      |    Merged in:
        Authors:            |    Reviewers:
Report Upstream:  N/A       |  Work issues:
         Branch:            |       Commit:
   Dependencies:            |     Stopgaps:
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Description changed by jdemeyer:

Old description:

> Currently we have the following in Sage:
> {{{
> sage: C = CombinatorialFreeModule(QQ, ['a','b'])
> sage: C.zero() == ZZ(0)
> True
> sage: C.zero() == QQ(0)
> False
> sage: M.zero()
> (0, 0, 0, 0)
> sage: M.zero() == ZZ(0)
> True
> sage: M.zero() == QQ(0)
> False
> }}}
> What I've been doing has been implementing a custom `__eq__` which checks
> explicitly for the other argument is 0 and then checking `self.is_zero`.
> However I'm thinking we should have a general fix with this as a special
> case, but we could do it just for these element classes.
>
> Additionally this works when there a coercion from the base ring. I guess
> more generally do we want equality checking for when there is a
> conversion to the base ring? Thoughts?

New description:

 Currently we have the following in Sage:
 {{{
 sage: C = CombinatorialFreeModule(QQ, ['a','b'])
 sage: C.zero() == ZZ(0)
 True
 sage: C.zero() == QQ(0)
 False
 }}}

--

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Ticket URL: <https://trac.sagemath.org/ticket/18251#comment:1>
Sage <http://www.sagemath.org>
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