On (σ,τ)-Derivations and Commutativity of Prime and Semi prime Γ-rings

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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.

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On (σ,τ)-Derivations and Commutativity of Prime and Semi prime Γ-rings. Baghdad Sci.J [Internet]. 2016 Mar. 6 [cited 2024 Mar. 28];13(1):0198. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2155
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How to Cite

1.
On (σ,τ)-Derivations and Commutativity of Prime and Semi prime Γ-rings. Baghdad Sci.J [Internet]. 2016 Mar. 6 [cited 2024 Mar. 28];13(1):0198. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2155

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