半素环上的Jordan τ-中心化子

摘要

主要讨论了半素环上的一类中心化子的保持性问题.证明了半素环上的左Jordan τ-中心化子是左τ-中心化子,并进一步证明了半素环上的Jordan τ-中心化子是τ-中心化子.从而在半素环上得到了一个良好的保持性结论.%A kind of centralizers keeping problem on semiprime rings are discussed in this paper. We proved that in some conditions left Jordan τ-centralizers are left τ-centralizers on semiprime rings,moreover, Jordan τ-centralizers are τ-centralizers on semiprime rings. Thus a good mapping keeping conclusion on semiprime rings are given.