#17694: zero vs zero_element / one vs one_element
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       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.5
      Component:  algebra            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/17694                 |  c0a0bbbe64c8524c98c88f342c62cc426c604260
   Dependencies:                     |     Stopgaps:
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Comment (by vdelecroix):

 Replying to [comment:4 ncohen]:

 Right. I guess that the problem is that `Rings` is '''not''' a sub
 category of additive monoid and multiplicative monoid! I really do not
 want to fix it within categories as there is an interplay with Nicolas
 axioms.

 I will add a commit that takes care of `LazyPowerSeries` and have a look
 at other rings which do not inherit from `sage.rings.ring.Ring`.

 Replying to [comment:5 jdemeyer]:
 > Replying to [ticket:17694 vdelecroix]:
 > > To avoid duplication we also upgrade slightly the category of
 polyhedra.
 > Please explain...

 The polyhedra do have a sum (Minkowski sum) and a product (cartesian
 product). The method `zero_element` was implemented but the category was
 !AdditiveMagmas. So I switched to !AdditiveMonoids (i.e. Magma + unit) and
 only rename the method `zero_element()` to `zero()`. And the
 !ParentMethods of the category takes care of the deprecation.

--
Ticket URL: <http://trac.sagemath.org/ticket/17694#comment:6>
Sage <http://www.sagemath.org>
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