On Right (σ, τ)-Jordan Ideals and One Sided Generalized Derivations Sağ (σ,τ)-Jordan İdealler ve Tek Yanlı Genelleştirilmiş Türevler Üzerine

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GÜVEN E.

Adiyaman University Journal of Science, vol.9, no.1, pp.1-12, 2019 (Scopus)

• Publication Type: Article / Article
• Volume: 9 Issue: 1
• Publication Date: 2019
• Journal Name: Adiyaman University Journal of Science
• Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.1-12
• Keywords: (σ,τ)-Jordan Ideal, Generalized Derivation, Prime Ring
• Kocaeli University Affiliated: Yes

Abstract

Let R be a prime ring with characteristic not 2 and σ, τ, α, β, λ, μ, γ automorphisms of R. Let h: R→R be a nonzero left (resp. right)-generalized (α,β)-derivation, b∈R and U, V nonzero right (σ,τ)-Jordan ideals of R. In this article we have investigated the following situations: (1) bh(γ(U))=0, (2) h(γ(U))b=0, (3) h(γ(U))=0, (4) U⊂C λ,µ(V), (5) bh(I)⊂ C λ,µ(U) or h(I)b⊂C λ,µ(U), (6) bV⊂C λ,µ(U) or Vb⊂C λ,µ(U).