62.39 Endomorphisms for near-rings

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 ] ) ]

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