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.
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.
关键词
素环
交换性
对称双导
prime ring
commutativity
symmetric bi-derivation.