62.36 DisplayCayleyTable for near-rings

DisplayCayleyTable( nr )

DisplayCayleyTable prints the additive and multiplicative Cayley tables of the near-ring nr. This function works the same way as for semi-groups; the dis-patch-er function Display-Cayley-Table calls nr.op-e-ra-tions.Display-Ta-ble which performs the actual printing.

  gap> DisplayCayleyTable( LibraryNearring( "V4", 22 ) );
  Let:
  n0 := ()
  n1 := (3,4)
  n2 := (1,2)
  n3 := (1,2)(3,4)

    +  

 n0 n1 n2 n3 
   ------------------
    n0 

 n0 n1 n2 n3 
    n1 

 n1 n0 n3 n2 
    n2 

 n2 n3 n0 n1 
    n3 

 n3 n2 n1 n0 

    *  

 n0 n1 n2 n3 
   ------------------
    n0 

 n0 n0 n0 n0 
    n1 

 n0 n1 n2 n3 
    n2 

 n2 n2 n2 n2 
    n3 

 n2 n3 n0 n1 

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