素环上满足同态的广义导子

Generalized Derivations as Homomrphisms in a Prime Ring

本文通过广义(θ,φ)-导子的定义,证明了当广义(θ,φ)-导子在素环R上满足同态时,有(θ,φ)-导子等于零的结论.将关于广义(θ,φ)-导子的结果推广到广义(θ,φ)-导子上.

This paper,through the definition of generalized-derivations,proveds that the generalized-derivations meet homomorphism in prime ring R,and a-derivation is equal to zero. The conclusion about the results of the generalized-derivation are extended to the generalized-derivations.