#15289: Implement indexed monoids
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  algebra            |   Resolution:
       Keywords:  days54             |    Merged in:
        Authors:  Travis Scrimshaw   |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/monoids/15289-indexed       |  909196eb2cd8311897437f7212c6470cba80ee84
   Dependencies:  #15309, #15169,    |     Stopgaps:
  #16349                             |
-------------------------------------+-------------------------------------

Comment (by nthiery):

 Hi Travis,

 Sorry for being slow once again. Unless I missed it, you haven't commented
 on my suggestions for:
 - Using `dict_addition` whenever meaningful
 - Implementing `Groups().Commutative().free()` rather than
 `Groups().free(commutative=True)` now that #10963 is in (I can do that if
 you want)
 - Putting index_set as first argument to the `free` methods to make the
 following work properly:
    {{{
        sage: C.free([1,2,3])
        Free monoid indexed by None
    }}}
   By the way, with no argument there should either be some reasonable
 default, or an error:
    {{{
        sage: C.free()
        Free monoid indexed by None
    }}}
 - Construction of the generators by `F(i)` (see [comment:37]).
 - [comment:32]

 Cheers,
                               Nicolas

--
Ticket URL: <http://trac.sagemath.org/ticket/15289#comment:55>
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