#17990: Implements is_zero and is_commutative for infinity ring
-------------------------------------+-------------------------------------
       Reporter:  virmaux            |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.7
      Component:  calculus           |   Resolution:
       Keywords:  InfinityRing,      |    Merged in:
  matrix, days64                     |    Reviewers:  Jean-Philippe Labbé
        Authors:  Aladin Virmaux     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  36263134d2c65c97ef3e57e8f0efa2e8ba0b52b9
  u/virmaux/matrix_with_infinity     |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by {'newvalue': u'Aladin Virmaux', 'oldvalue': ''}):

 * author:   => Aladin Virmaux


Old description:

> Because there is no `is_zero` and `is_commutative` method for
> `InfinityRing`, numerous methods fails for matrices with infinity
> elements. This problem came up in relation with the ticket #17798.
>
> {{{
> sage: m = Matrix([Infinity])
> sage: m.nrows()
> 1
> sage: m.rows()
> ---------------------------------------------------------------------------
> AttributeError                            Traceback (most recent call
> last)
>
> [...]
> AttributeError: 'InfinityRing_class' object has no attribute 'is_zero'
> }}}

New description:

 Infinity ring is commutative and non-zero.

 Because there is no `is_zero` and `is_commutative` method for
 `InfinityRing`, numerous methods fails for matrices with infinity
 elements. This problem came up in relation with the ticket #17798.

 {{{
 sage: m = Matrix([Infinity])
 sage: m.nrows()
 1
 sage: m.rows()
 ---------------------------------------------------------------------------
 AttributeError                            Traceback (most recent call
 last)

 [...]
 AttributeError: 'InfinityRing_class' object has no attribute 'is_zero'
 }}}

--

Comment:

 Hey, sorry for the delay but I have been really busy these last days.

--
Ticket URL: <http://trac.sagemath.org/ticket/17990#comment:20>
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