Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483694 | Journal of the Egyptian Mathematical Society | 2013 | 4 Pages |
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 (d(u)l1F(u)l2d(u)l3F(u)l4…F(u)lk)n=0(d(u)l1F(u)l2d(u)l3F(u)l4…F(u)lk)n=0 for all u ∈ 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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Shuliang Huang,