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Two-Sided a-derivations on Left Nearrings

H.E.Bell and G.Mason[1] proved that if D is a derivation on left near ring N satisfying D(N) ? Z or [D(x),D(y)]=0 for all x,y ? N then (N,+) is abelian. In [2], Bell and kappe proved that if d is a derivation of semiprime ring R which is either an endomorphism or anti-endomorphism then d=0. Argafi genaralized this result for a semiprime near ring in [3]. In this paper, we prove that (N,+) is abelian if d(x+y-x-y)=0 and if d+d is additive on I



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Keywords: IJSER,2229-5518, 22295518,Dr.D.Bharathi and K.Sreenivasulu

ISSN: 22295518

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