Commutativity Results on Prime Rings With Generalized Derivations

Let R be a prime ring. For nonzero generalized derivations F and G associated with the same derivation d, we prove that if d≠0, then R is commutative, if any one of the following conditions hold: (1) [F(x), G(y)]  0, (2) F(x)oG(y)  0, (3) F(x)oG(y)  xoy, (4) [F(x), G(y)]  [x, y], (5) [F(x), G(...

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Bibliographic Details
Main Authors: A. Majeed, Shaima,a Yass
Format: Article
Language:English
Published: Unviversity of Technology- Iraq 2016-02-01
Series:Engineering and Technology Journal
Subjects:
Online Access:https://etj.uotechnology.edu.iq/article_112665_b766fa429ed82ab4ceaae598e711b4e3.pdf