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Composition of Generalized Derivations in \=Left Ideals of Prime Rings

MA Jing1,2, XU Xiaowei1   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. School of Mathematics and System Sciences, Shandong University, Jinan 250100, China
  • Received:2007-01-09 Revised:1900-01-01 Online:2007-09-26 Published:2007-09-26
  • Contact: XU Xiaowei

Abstract: Using structure properties of prime rings satisfying GPI and the relation of vector spaces and their endmorphism rings, we showed that it is posible that the composition of two generalized derivations with special forms may act like generalized derivation on the left ideals of prime rings. And we got an equivalent condition for generalized derivations to have this property.

Key words: prime ring, generalized derivation, composition

CLC Number: 

  • O153.3