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Generalized derivations on Lie ideals in prime rings
Derivations Lie ideals generalized derivations centralizing mappings prime rings
2011/4/6
Let R be a prime ring with characteristic different from two, U a nonzero Lie ideal of R and f be a generalized derivation associated with d. We prove the following results: (i) If [u,f(u)] \in Z, for...
Posner´s Second Theorem and an Annihilator Condition with Generalized Derivations
Prime rings derivations left Utumi quotient rings two-sided Martindale quotient ring differential identities
2010/2/25
Let R be a prime ring of characteristic different from 2, with extended centroid C, U its two-sided Utumi quotient ring, d\neq 0 a non-zero generalized derivation of R, f(x1,..,xn) a non-central multi...
On Orthogonal Generalized Derivations of Semiprime Rings
derivation orthogonal derivations generalized derivation orthogonal generalizedderivations prime ring semiprime ring
2010/2/26
In this paper, we present some results concerning two generalized derivations on a semiprime ring. These results are a generalization of results of M. Bre\u{s}ar and J. Vukman in [2], which are relate...