#18002: Submonoids and subsemigroup defined by generators
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       Reporter:  virmaux                        |        Owner:
           Type:  enhancement                    |       Status:  closed
       Priority:  major                          |    Milestone:  sage-6.6
      Component:  combinatorics                  |   Resolution:  fixed
       Keywords:  monoids, days64                |    Merged in:
        Authors:  Nicolas M. ThiƩry, Aladin      |    Reviewers:  Anne
  Virmaux                                        |  Schilling
Report Upstream:  N/A                            |  Work issues:
         Branch:                                 |       Commit:
  a8306e4da2265d06e6fc20ca3f16989632132fee       |     Stopgaps:
   Dependencies:  #17160                         |
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Changes (by nthiery):

 * commit:  a8306e4da2265d06e6fc20ca3f16989632132fee =>


Comment:

 Replying to [comment:58 vdelecroix]:
 > The example in the description is precisely an example where we want to
 override the method `.submonoid()` since everything can be computed using
 `gcd`!

 We are looking for a multiplicative monoid here, not additive. So I don't
 see from the top of my head how to do it with `gcd`. I might be missing
 something though. And I certainly agree that there must be some better way
 than brute force in such a specific situation. I was just looking for a
 simple example where one can easily check things by hand.

--
Ticket URL: <http://trac.sagemath.org/ticket/18002#comment:60>
Sage <http://www.sagemath.org>
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