素环上的Jordan τ-中心化子

摘要

A kind of centralizers keeping problem on prime rings is discussed. It is proved that in some conditions left Jordan r-centralizers are left r-centralizers on prime rings, moreover Jordan r-centralizers are τ-centralizers on prime rings. Thus a good mapping keeping conclusion on prime rings is obtained.%讨论素环上的一类中心化子的保持性问题.证明了素环上的左Jordan τ中心化子是左τ-中心化子,并进一步证明了素环上的Jordan τ-中心化子是τ-中心化子,从而在素环上得到了一个良好的保持性结论.