#804: Matrix should not inherit from AlgebraElement
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       Reporter:  roed               |        Owner:  was
           Type:  defect             |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.2
      Component:  linear algebra     |   Resolution:
       Keywords:  AlgebraElement,    |    Merged in:
  Matrix                             |    Reviewers:
        Authors:  Peter Bruin        |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  0fd3d318a230b2865cf331c2c696c9d05ceba487
  u/pbruin/804-Matrix_inheritance    |     Stopgaps:
   Dependencies:                     |
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Comment (by pbruin):

 Replying to [comment:15 vdelecroix]:
 > At first glance, I thought this ticket would help to build tropical
 matrices as discussed in #14507... but no, the "base ring" for tropical
 matrix is a [http://en.wikipedia.org/wiki/Semiring semiring] and not a
 ring (no requirement of an additive inverse). Am I right?
 I think you are.  Everywhere in Sage, matrices and vectors are assumed to
 have coefficients in some base ring.  This would probably be much harder
 to change than the inheritance issue addressed in this ticket.  If enough
 people want tropical matrices, then it seems we need new classes
 `Matrix_semiring` and `Vector_semiring`, possibly inheriting from some
 `ModuleElement_semiring`...

--
Ticket URL: <http://trac.sagemath.org/ticket/804#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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