Generalized Derivations with Commutativity of Prime Rings
Journal of Al-Qadisiyah for Computer Science and Mathematics,
2009, Volume 1, Issue 1, Pages 1-14
AbstractThe main purpose of this paper is to study and investigate some results concerning generalized derivations (D,d) and (G,g) of prime ring R ,when the additive mapping acts as a left centralizer of R ,we obtain either d=0 or g=0,and when R contain a non –zero ideal U,R is commutative.
Key words: Generalized derivations, centralizer,commutativity and prime rings.
AMS Mathematics Subject Classification (2000) : 16W25, 16N60, 19U80.
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