#10963: More functorial constructions
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       Reporter:         |         Owner:  stumpc5
  nthiery                |        Status:  needs_work
           Type:         |     Milestone:
  enhancement            |    Resolution:
       Priority:  major  |     Merged in:
      Component:         |     Reviewers:  Simon King
  categories             |   Work issues:  Reduce startup time by 5%. Avoid
       Keywords:         |  "recursion depth exceeded (ignored)". Trivial
        Authors:         |  doctest fixes.
  Nicolas M. ThiƩry      |  Dependencies:  #11224, #8327, #10193, #12895,
Report Upstream:  N/A    |  #14516, #14722, #13589
         Branch:         |
       Stopgaps:         |
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Comment (by SimonKing):

 Replying to [comment:57 SimonKing]:
 > After all, creating the join of a list of categories should be more
 complicated then adding a list of "axiom categories" (such as
 `Magmas().Commutative()` and `Magmas().Division()` and `Sets().Finite()`)
 to a given category (such as `Rings()`).

 Or perhaps rather `Rngs().Division()`, because we ask for inverses for all
 non-zero elements, hence `Division()` requires a category that has a
 notion of a zero and is at the same time a magma.

--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:58>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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