Thank you sir for providing the code with clarification. Regards,
\-Shubh On Fri, Jul 7, 2017 at 11:41 AM, Vinay Wagh <wagh...@gmail.com> wrote: > gap> a:= Transformation( [ 2, 3, 4, 1 ] );; > gap> b:= Transformation( [ 2, 2, 3, 4 ] );; > gap> s:= Semigroup(a, b); > <transformation semigroup of degree 4 with 2 generators> > gap> l := Idempotents( s ); > [ Transformation( [ 2, 2 ] ), IdentityTransformation, Transformation( > [ 1, 1, 3, 3 ] ), Transformation( [ 4, 2, 2, 4 ] ), > Transformation( [ 1, 2, 3, 1 ] ), Transformation( [ 1, 2, 4, 4 ] ), > Transformation( [ 1, 3, 3 ] ), Transformation( [ 1, 1 ] ), > Transformation( [ 2, 2, 2 ] ), Transformation( [ 2, 2, 3, 3 ] ), > Transformation( [ 2, 2, 4, 4 ] ), Transformation( [ 3, 3, 3 ] ), > Transformation( [ 4, 2, 3, 4 ] ), Transformation( [ 1, 3, 3, 1 ] ), > Transformation( [ 2, 2, 3, 2 ] ), Transformation( [ 2, 2, 2, 2 ] ), > Transformation( [ 1, 1, 1 ] ), Transformation( [ 1, 1, 4, 4 ] ), > Transformation( [ 3, 3, 3, 3 ] ), Transformation( [ 4, 4, 3, 4 ] ), > Transformation( [ 1, 1, 3, 1 ] ), Transformation( [ 1, 2, 2, 1 ] ), > Transformation( [ 4, 3, 3, 4 ] ), Transformation( [ 1, 2, 3, 3 ] ), > Transformation( [ 3, 2, 3, 3 ] ), Transformation( [ 4, 2, 4, 4 ] ), > Transformation( [ 1, 2, 1, 1 ] ), Transformation( [ 1, 2, 2 ] ), > Transformation( [ 1, 3, 3, 3 ] ), Transformation( [ 1, 4, 4, 4 ] ), > Transformation( [ 4, 4, 4, 4 ] ), Transformation( [ 1, 1, 1, 1 ] ), > Transformation( [ 1, 2, 2, 2 ] ) ] > gap> Size( l ); > 33 > > > Hope this helps! > > VInay > > > > > On 7 July 2017 at 06:56, Shubh Narayan Singh (Assistant Professor, > Mathematics) <sh...@cub.ac.in> wrote: > > Please can someone tell the gap code, if exists, for > > > > 1. listing all the idempotent elements > > > > 2. cardinality of the set of all idempotent elements > > > > in a finite semigroup. > > > > Thank you in advance. > > > > > > *Regards,* > > > > *Shubh* > > > > > > *-----------------------------------------------------Shubh Narayan > Singh, > > Ph.D.Assistant Professor * > > > > > > > > *Department of MathematicsCentral University of South BiharPatna - 800 > > 014-----------------------------------------* > > *e-mail: sh...@cub.ac.in <sh...@cub.ac.in>* > > *Mob: +91- 8404934146* > > _______________________________________________ > > Forum mailing list > > Forum@mail.gap-system.org > > http://mail.gap-system.org/mailman/listinfo/forum > -- -- *Sincerely,* *Shubh Narayan Singh* *-----------------------------------------------------Shubh Narayan Singh, Ph.D.Assistant Professor * *Department of MathematicsCentral University of South BiharPatna - 800 014-----------------------------------------* *e-mail: sh...@cub.ac.in <sh...@cub.ac.in>* *Mob: +91- 8404934146* _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
