GENERALIZED SKEW DERIVATIONS WITH ANNIHILATING ENGEL CONDITIONS
نویسندگان
چکیده
منابع مشابه
Generalized Skew Derivations with Engel Conditions on Lie Ideals
Let R be a prime ring and L a noncommutative Lie ideal of R. Suppose that f is a nonzero right generalized β-derivation of R associated with a β-derivation δ such that [f(x), x]k = 0 for all x ∈ L, where k is a fixed positive integer. Then either there exists s ∈ C scuh that f(x) = sx for all x ∈ R or R ⊆ M2(F ) for some field F . Moreover, if the latter case holds, then either charR = 2 or cha...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2008
ISSN: 1027-5487
DOI: 10.11650/twjm/1500405076