62.49 ZeroSymmetricElements

ZeroSymmetricElements( nr )

Let (N,+,cdot) be a right near-ring and denote by 0 the neutral element of (N,+). An element n of N is called a zero-symmetric element if n cdot 0 = 0.

Remark: note that in a right near-ring 0 cdot n = 0 is true for all elements n.

The function ZeroSymmetricElements returns a list containing the zero-symmetric elements of the near-ring nr.

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

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