#18265: Axioms for semigroups: L,R,J,H-trivial, aperiodic
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       Reporter:  nthiery            |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.2
      Component:  algebra            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Nicolas M. ThiƩry  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/nthiery/semigroups/axioms-18265  |  7943a39ee89e2bedf6037de565c37746c447aa6a
   Dependencies:                     |     Stopgaps:
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Changes (by tscrim):

 * milestone:  sage-6.7 => sage-7.2


Comment:

 Some comments:

 - Do we want these to be axioms since these properties for subcategories
 do not make as much sense (e.g., for groups, L-trivial = R-trivial =
 J-trivial = category consisting only of the trivial group, correct?)
 - Typo "preoder".
 - Do we want to spend some time trying to beautiful axiom printing (i.e.,
 "J-trivial" instead of "jtrivial")?
 - I would like to see the defining properties to the category level
 documentation, not only in the subcategory methods.

--
Ticket URL: <http://trac.sagemath.org/ticket/18265#comment:13>
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