Endomorphisms( nr )
Endomorphisms
computes all the endomorphisms of the near-ring nr.
The endomorphisms are returned as a list of transformations. In fact, the
returned list contains those endomorphisms of nr.group
which are
also endomorphisms of the near-ring nr.
gap> t := Transformation( Group( (1,2) ), [2,1] ); Transformation( Group( (1,2) ), [ 2, 1 ] ) gap> nr := Nearring( t ); Nearring( Transformation( Group( (1,2) ), [ 2, 1 ] ) ) gap> Endomorphisms( nr ); [ Transformation( Group( (1,2)(3,4), (1,3)(2,4) ), [ 1, 1, 1, 1 ] ), Transformation( Group( (1,2)(3,4), (1,3)(2,4) ), [ 1, 2, 2, 1 ] ), Transformation( Group( (1,2)(3,4), (1,3)(2,4) ), [ 1, 2, 3, 4 ] ) ]
GAP 3.4.4