62.52 IsBooleanNearring

IsBooleanNearring( nr )

A right near-ring N is called boolean if all its elements are idempotent with respect to multiplication.

The function IsBooleanNearring simply checks if all elements are idempotent and returns the according boolean value true or false.

  gap> IsBooleanNearring( LibraryNearring( "S3", 25 ) ); 
  false

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