62.47 DistributiveElements

DistributiveElements( nr )

An element d of a right near-ring (N,+,cdot) is called a distributive element if it is also left distributive over all elements, i.e. forall n_1, n_2 in N: d cdot (n_1 + n_2 ) = d cdot n_1 + d cdot n_2.

The function DistributiveElements returns a list containing the distributive elements of the near-ring nr.

  gap> DistributiveElements( LibraryNearring( "S3", 25 ) );
  [ (), (1,2,3), (1,3,2) ]

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