Dear João,
João Cruz wrote:
1. i want gap composer of semigroups with 5 elements
You can download the latest version of 'smallsemi' at
http://www-history.mcs.st-and.ac.uk/~jamesm/smallsemi/
After loading the package call
gap> AllSmallSemigroups(5);
to get the semigroups with 5 elements up to equivalence.
Be aware though that this is a development version and not everything
will be documented or even functional.
Moreover, the package does currently not work under Windows. If this is
a problem for you I could as an alternative send you a file containing
the multiplication tables of the semigroups.
2. i want a gap congruences filter to identify the congruences in the semigroup
As far as I know there is no GAP function that computes the congruences
of a semigroup. For the semigroups of order 5 you might be successful
using a brute force approach.
Best wishes,
Andreas
thanks
JR
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