Generalized Derivations With Left Annihilator Conditions in Prime and Semiprime Rings
Let R be a prime ring with its Utumi ring of quotients U, C = Z(U) be the extended centroid of R, H and G two generalized derivations of R, L a noncentral Lie ideal of R, I a nonzero ideal of R. The left annihilator of S ⊆ R is denoted by lR(S) and defined by lR(S) = {x ∈ R| xS = 0}. Suppose that S...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Zielona Góra
2017-12-01
|
Series: | Discussiones Mathematicae - General Algebra and Applications |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgaa.1271 |