• Title of article

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

  • Author/Authors

    ibraheem, afrah mohammad al-mustansiriyah university - college of education - department of mathematics, Iraq

  • From page
    198
  • To page
    203
  • 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 = [ ] ( ) 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 Г , ring , Semi prime Г , ring , (σ , τ) , derivation , Strong commutativity preserving (σ , τ) , derivation , Commutativity.
  • Journal title
    Baghdad Science Journal
  • Journal title
    Baghdad Science Journal
  • Record number

    2691702