Commutativity Results on Prime Rings With Generalized Derivations | ||
| Engineering and Technology Journal | ||
| Article 1, Volume 34, 2B, February 2016, Pages 328-333 PDF (573.73 K) | ||
| DOI: 10.30684/etj.34.2B.16 | ||
| Authors | ||
| A. H. Majeed; Shaima,a B. Yass | ||
| Abstract | ||
| 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(y)] xoy, (6) F(x)oG(y) [x, y], for all x, y R, where F will always denote onto map. | ||
| Keywords | ||
| prime rings; derivations; generalized derivations | ||
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