Journal of Jilin University Science Edition

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Strong CommutativityPreserving Derivation onan Ideal of a Prime Γ-Ring

ZHOU Yuan, MA Jing   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2013-06-03 Online:2014-03-26 Published:2014-03-20
  • Contact: MA Jing E-mail:jma@jlu.edu.cn

Abstract:

Let R be a prime Γring with a derivation d. We proved that if d is strong commutativitypreserving on a nonzero ideal I of R, and  d(I)I, then R is commutative.

Key words: prime Γ-ring, derivation, strong commutativitypreserving, ideal

CLC Number: 

  • O153.3