A result on generalized derivations on right ideals of prime rings

• Published in: Український математичний журнал
• Date: 2012
• Main Authors: Demir, C., Arga, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164134
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A result on generalized derivations on right ideals of prime rings / C. Demir, N. Arga // Український математичний журнал. — 2012. — Т. 64, № 2. — С. 165-175. — Бібліогр.: 16 назв. — англ.

Let R be a prime ring of characteristic other than 2 and let I be a nonzero right ideal of R. Also let U be the right Utumi quotient ring of R and let C be the center of U. If G is a generalized derivation of R such that [[G(x), x], G(x)] = 0 for all x ∈ I, then R is commutative or there exist a, b...