#12630: Add representations of quivers and quiver algebras to sage
-------------------------------------+-------------------------------------
       Reporter:  JStarx             |        Owner:  AlexGhitza
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-5.13
      Component:  algebra            |   Resolution:
       Keywords:  algebra, quiver,   |    Merged in:
  module, days49                     |    Reviewers:  Simon King
        Authors:  Jim Stark, Simon   |  Work issues:
  King, Mathieu Guay-Paquet, Aladin  |       Commit:
  Virmaux                            |  fda4012f91c357f3db86fb07271573886ad0da74
Report Upstream:  N/A                |     Stopgaps:
         Branch:                     |
  u/SimonKing/ticket/12630           |
   Dependencies:  #12412, #12413,    |
  #14806                             |
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Comment (by nthiery):

 Replying to [comment:142 SimonKing]:
 > > I am even tempted by the shorter path_monoid or path_semigroup.
 > > Granted, this is an abuse.
 >
 > Why? AFAIK, a semigroup is the same as an associative magma (which we
 have
 > here). It is not needed to have an identity in a semigroup. Hence, it is
 no
 > abuse at all. And I think path semigroup is both short and descriptive,
 and relatively easy to guess.

 It's an abuse because it's only a *partial* semigroup (with the
 product of two non consecutive paths giving None).

 > I feel tempted to call it path semigroup.

 I am very fine with that. And the rest :-)

--
Ticket URL: <http://trac.sagemath.org/ticket/12630#comment:143>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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