带有广义导子环的交换性
On the Commutativity of Rings with Generalized Derivations
-
摘要: 设R是一个特征不等于2的素环,δ为R的一个广义导子,d为其伴随导子.讨论R满足下列任何一个条件时的交换性,1.δ(x,y)=x,y;2.δ(x y)=x y;3.δ(x),x=0,其中x,y为R的某一个子集中的元素.Abstract: Suppose that R is a 2-torsion free prime ring, and δ a generalized derivation of R. In the paper is investigated the commutativity of the ring R satisfying any one of the propertities: ① δ(x,y)=x,y; ② δ(xy)=(xy); ③ δ(x),x=0, for all x,y in some apropriate subset of R.
下载: