半素环上Jordan(α,α)-导子的性质

Properties of Jordan(α,α)-derivations on semiprime rings

研究了半素环上Jordan(α,α)-导子的性质,利用其半素性和已有的结论,证明了2-非挠半素环上的Jordan(α,α)-导子是(α,α)-导子.作为应用,证明了这一结论在2-非挠的交换环和半单环上也是成立的.

The Jordan （ α, α ）-derivations on a semiprime ring are studied. Using the properties of semiprime ring and the existed results, it is proved that every Jordan （ α,α ）-derivation on a semiprime ring is an （α, α ）-derivation. In addition, the same results on Abelian rings and semisimple rings are given.