Evrim GÜVEN

Sağ (,)-Jordan İdealler ve Tek Yanlı Genelleştirilmiş Türevler Üzerine

R, karakteristiği 2 den farklı bir asal halka ve σ,τ,α,β,λ,μ,γ dönüşümleri R üzerinde otomorfizmler olsunlar. h:R→R sıfırdan farklı bir sol (sağ)-genelleştirilmiş (α,β)-türev, b∈R ve U ile V, R halkasının sıfırdan farklı sağ (σ,τ)-Jordan idealleri olsunlar. Bu makalede, aşağıdaki durumları araştırdık: (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).

On Right (σ, τ)-Jordan Ideals and One Sided Generalized Derivations

Let R be a prime ring with characteristic not 2 and σ, τ, α, β, λ, μ, γautomorphisms 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 haveinvestigated 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).

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