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Applications of two-sided α-generalized derivations to 3-prime near rings

ABSTRACT Let N be a zero symmetric 3-prime right near ring and α:N→N be an endomorphism. In this paper, the notions of two-sided α-(generalized) derivations on N are studied. Some results characterize commutativity of 3-prime near rings are obtained. Examples proving the necessity of the 3-primeness hypothesis are given. When α = idN, one can easily obtain the main results of [5].