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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Atıf İçin Kopyala

GÜVEN E.

Adiyaman University Journal of Science, cilt.9, sa.1, ss.1-12, 2019 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 9 Sayı: 1
• Basım Tarihi: 2019
• Dergi Adı: Adiyaman University Journal of Science
• Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.1-12
• Anahtar Kelimeler: (σ,τ)-Jordan Ideal, Generalized Derivation, Prime Ring
• Kocaeli Üniversitesi Adresli: Evet

Özet

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).