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

Year 2019, Volume: 9 Issue: 1, 1 - 12, 28.06.2019

Evrim Güven

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, bÎR 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) UÌC
_λ,µ(V), (5) bh(I)Ì

C
_λ,µ(U) or h(I)bÌC _λ,µ(U), (6) bVÌC _λ,µ(U)
or VbÌC
_λ,µ(U).

Keywords

Prime Ring, Generalized Derivation

Sağ (σ,τ)-Jordan İdealler ve Tek Yanlı Genelleştirilmiş Türevler Üzerine

Abstract

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) UÌC
_λ,µ(V), (5) bh(I)Ì

C
_λ,µ(U) or h(I)bÌC _λ,µ(U), (6) bVÌC _λ,µ(U)
or VbÌC
_λ,µ(U).

Keywords

Asal Halka, Genelleştirilmiş Türev

References

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