素环的对称双导

Symmetric Bi-derivation of Prime Rings

中文关键词:  素环  交换性  对称双导

英文关键词:prime ring  commutativity  symmetric bi-derivation.

中文摘要:

      本文讨论了具有非零对称双导的素环的交换性,得到了完善的定理,从而改进了已有的结果.

英文摘要:

      In this paper,we obtain the following result: Let R be a prime ring of characteristic≠2. If R has a nonzero symmetric bi-derivation, then R is commutative.