【摘要】 讨论了素环上中心化广义导子的性质 ,设R是素环 ,I是R的一个非零理想 ,若存在R的在I上中心化的非平凡广义导子 ,则R必为交换环 .更多还原

【Abstract】 Let R be an associated ring, an additive map g of R is called a generalized derivation if there exists a derivation δ of R such that g(xy)=g(x)y+xδ(y) for all x,y∈R . In this paper, it discuss centralizing generalized derivations of prime rings. The main result generalized Mayne’s result.更多还原