GENERALIZED DERIVATIONS WITH ANNIHILATOR CONDITIONS IN PRIME RINGS
نویسندگان
چکیده
منابع مشابه
Generalized Derivations with Annihilator Conditions in Prime Rings
Let R be a noncommutative prime ring with its Utumi ring of quotients U , C = Z(U) the extended centroid of R, F a generalized derivation of R and I a nonzero ideal of R. Suppose that there exists 0 = a ∈ R such that a(F ([x, y]) − [x, y]) = 0 for all x, y ∈ I, where n ≥ 2 is a fixed integer. Then one of the following holds: 1. char (R) = 2, R ⊆ M2(C), F (x) = bx for all x ∈ R with a(b − 1) = 0...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2011
ISSN: 1015-8634
DOI: 10.4134/bkms.2011.48.5.917