#18265: Axioms for semigroups: L,R,J,H-trivial, aperiodic
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       Reporter:  nthiery            |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.7
      Component:  algebra            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Nicolas M. ThiƩry  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
   Dependencies:                     |     Stopgaps:
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Description changed by nthiery:

Old description:

> This ticket defines the usual Green axioms for semigroups, and provides
> stubs for the corresponding categories. This is a first step toward
> #18001.

New description:

 This ticket defines the usual Green axioms for semigroups, and provides
 stubs for the corresponding categories:
 {{{
 sage: Semigroups().LTrivial()
 Category of ltrivial semigroups
 sage: Semigroups().LTrivial().RTrivial()
 Category of jtrivial semigroups
 sage: Semigroups().HTrivial().Finite()
 Category of finite aperiodic semigroups
 sage: Semigroups().Commutative().RTrivial()
 Category of commutative jtrivial semigroups
 }}}

 This is a first step toward #18001.

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Ticket URL: <http://trac.sagemath.org/ticket/18265#comment:1>
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