半素环上的n-(α,β)导子

n-( α,β) Derivations of Semiprime Rings

本文利用素环、半素环、(α,β)-导子和(α,β)-双导子的性质,研究了半素环上n-(α,β)导子的性质,证明了:半素环R上的每个n-(α,β)导子(n≥3)必映入R的极大中心理想中.推广了前人的结果,希望对进一步的研究工作有所帮助和启发.

In this paper we investigated characters of n -（α,β） derivations with characters of prime rings, semiprime rings,n-（α,β）derivations and（α,β）biderivations. We proved that every n-（α,β）derivation（ n≥3）on a semiprime ring R must map into the maximal central ideal of,which generalize the related results before. We hope that it will be helpful for further research.