科研之友
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摘要
In this paper we define 汐-derivation for near-rings and extend some results for derivations of prime rings or near-rings to a more general case for 汐-derivations of prime near-rings. To initiate the study of the theory, the existence of such derivation is shown by an example. It is shown that if d is an 汐-derivation of a prime near-ring N such that d commutes with 汐, then d2 = 0 implies d = 0. Also a Posner-type result on the composition of 汐-derivations is obtained.
