On Generalized Left Derivation on Semiprime Rings | ||
| Engineering and Technology Journal | ||
| Article 1, Volume 34, 1B, January 2016, Pages 87-92 PDF (581.68 K) | ||
| DOI: 10.30684/etj.34.1B.10 | ||
| Authors | ||
| A. H. Majeed; Shaima,a B. Yass; a B. Yass | ||
| Abstract | ||
| Let R be a 2-torsion free semiprime ring. If R admits a generalizedleft derivation F associated with Jordan left derivation d, then R is commutative, if any one of the following conditions hold: (1) [d(x), F(y)] [x, y], (2) [d(x), F(y)] xoy, (3) d(x)oF(y) xoy, (4) d(x)oF(y) [x, y], for all x, yR. | ||
| Keywords | ||
| semiprimerings; prime rings; generalized left derivation; generalized Jordan left derivation | ||
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