Commutativity of Left Near-Rings

Several authors have proved theorems for prime and semiprime near-rings admitting a derivations acts as a homomorphism (an anti-homomorphism) or Daif 2-derivations. In an early paper, Bell and Kappe [1] proved that if d is a derivation of a semiprime ring R which is either an endomorphism or anti-endomorphism, then d = 0.