On (σ,τ)-Derivations and Commutativity of Prime and Semi prime Γ-rings | ||
| Baghdad Science Journal | ||
| Article 1, Volume 13, Issue 1, February 2016, Pages 198-203 | ||
| Author | ||
| Afrah Mohammad Ibraheem | ||
| Abstract | ||
| Let R be a Г-ring, and σ, τ be two automorphisms of R. An additive mapping d from a Γ-ring R into itself is called a (σ,τ)-derivation on R if d(aαb) = d(a)α σ(b) + τ(a)αd(b), holds for all a,b ∈R and α∈Γ. d is called strong commutativity preserving (SCP) on R if [d(a), d(b)]α = [a,b]_α^((σ,τ) ) holds for all a,b∈R and α∈Γ. In this paper, we investigate the commutativity of R by the strong commutativity preserving (σ,τ)-derivation d satisfied some properties, when R is prime and semi prime Г-ring. | ||
| Keywords | ||
| Prime; ring; Semi prime; derivation; Strong commutativity preserving; Commutativity | ||
|
Statistics Article View: 129 PDF Download: 96 |
||