关于素环上的内导子

On inner derivations of prime rings

讨论了素环理想上内导子的交换性质。设R是一个素环,I为R的一个非零理想,Ia(x)=[x,a]为R的一个内导子,其中a为R中一个固定元素,如果对任意的x,y∈I,都有Ia(xoy)=xoy或Ia(xoy)+xoy=0,那么R是可交换的。

This paper discussed the properties of ideals in prime rings with inner derivations. Let be a prime rings, is a nonzero ideal of and is a inner derivations of If or for all, thenis a commutative ring.