素环Jordan理想上广义导子作为同态或反同态

Generalized Derivations as Homomorphisms or as Anti-homomorphisms in Prime Ring

在文献[1]的基础上,将素环上广义导子作为同态或反同态的结果及将文献[3]的结果由非零理想推广到了Jordan理想上,得到素环是交换环的结论.

Based on[ 1 ] , we extend the results of generalized derivation as a homomorphism or anti - homomorphism in primerings and the results in [3] from non - zero ideal to Jordan ideal, and derive that the prime ring is a commutative ring.