#14826: Newton polygons
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       Reporter:  caruso           |         Owner:  roed
           Type:  enhancement      |        Status:  needs_info
       Priority:  major            |     Milestone:  sage-5.12
      Component:  padics           |    Resolution:
       Keywords:  Newton polygons  |     Merged in:
        Authors:  Xavier Caruso    |     Reviewers:
Report Upstream:  N/A              |   Work issues:
         Branch:                   |  Dependencies:
       Stopgaps:                   |
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Comment (by vbraun):

 There are two ways for your elements get an `__add__` method: Either they
 inherit it from `RingElement` or your category is (a refinement of)
 `AdditiveMagmas`. If you don't want to have a ring (no `__neg__` method)
 then you have to go the latter route. Just derive from `Element` and
 initialize your category to
 {{{
         from sage.categories.all import Magmas, AdditiveMagmas
         category = (Magmas(), AdditiveMagmas())
         super(...).__init__(..., category=category)
 }}}
 This is roughly how the polyhedra work, except they define a new category
 as the join.

--
Ticket URL: <http://trac.sagemath.org/ticket/14826#comment:17>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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