Department of Mathematics, Chuzhou University, Chuzhou 239012, PR China
http://dx.doi.org/10.1016/j.joems.2013.01.001
Abstract
Let R be a 2-torsion-free prime ring with center Z(R), F a generalized derivation associated with a nonzero derivation d, L a Lie ideal of R. If ðdðuÞl1FðuÞl2dðuÞl3FðuÞl4 . . . FðuÞlk Þn ¼ 0 for all u 2 L, where l1, l2, . . . , lk are fixed non-negative integers not all zero, and n is fixed positive integer, then L ˝ Z(R). We also examine the case when R is a semiprime ring. Finally, we apply the above result to Banach algebras.
Huang, S. (2013). Generalized derivations with power values in rings and Banach algebras. Journal of the Egyptian Mathematical Society, 21(2), 75-78. doi: http://dx.doi.org/10.1016/j.joems.2013.01.001
MLA
Shuliang Huang. "Generalized derivations with power values in rings and Banach algebras". Journal of the Egyptian Mathematical Society, 21, 2, 2013, 75-78. doi: http://dx.doi.org/10.1016/j.joems.2013.01.001
HARVARD
Huang, S. (2013). 'Generalized derivations with power values in rings and Banach algebras', Journal of the Egyptian Mathematical Society, 21(2), pp. 75-78. doi: http://dx.doi.org/10.1016/j.joems.2013.01.001
VANCOUVER
Huang, S. Generalized derivations with power values in rings and Banach algebras. Journal of the Egyptian Mathematical Society, 2013; 21(2): 75-78. doi: http://dx.doi.org/10.1016/j.joems.2013.01.001
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