The Commutativity of Prime Γ<sub>n</sub>-Rings with left and Right K-Derivations

Abstract

By introducing the notions of left k-derivation and right k-derivation of a gamma ring, we determine some significantly important results on the commutativity of prime ΓN-rings of characteristic not equal to 2 and 3 with left k-derivation and right k-derivation, and also with the composition of such two k-derivations. Keywords: Left and right k-derivations, gamma ring, prime gamma ring, commutativity. DOI: 10.3329/jbas.v33i1.2948 Journal of Bangladesh Academy of Sciences, Vol. 33, No. 1, 37-46, 2009