62.60 IsPrimeNearring

IsPrimeNearring( nr )

A near-ring (N,+,cdot) with zero element 0 is called prime if the ideal { 0 } is a prime ideal.

The function IsPrimeNearring checks if nr is a prime near-ring by using the condition for all non-zero ideals I,J: I cdot J ne { 0 } and returns the according value true or false.

  gap> IsPrimeNearring( LibraryNearring( "V4", 11 ) );   
  false

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