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(...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Unviversity of Technology- Iraq
2016-02-01
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Series: | Engineering and Technology Journal |
Subjects: | |
Online Access: | https://etj.uotechnology.edu.iq/article_112665_b766fa429ed82ab4ceaae598e711b4e3.pdf |