Some results on left (σ, τ)-Jordan ideals and one sided generalized derivations

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Güven E.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.9, sa.1, ss.22-29, 2019 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 9 Sayı: 1
• Basım Tarihi: 2019
• Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
• Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.22-29
• 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)- general- ized (α,β)- derivation associated with (α,β)- derivation d1 (resp. d). Let W, V be nonzero left (σ, τ)-Jordan ideals of R and I a nonzero ideal of R. In this paper we also study the situations. (1)ah(R)b ⊂ C λ,μ (R) (2) bh(I; a)σ,n = 0 or h(I; a)σ, = 0; (3) bh(I) ⊂ C λ,μ (W) or h(I)b ⊂ C λ,μ (W); (4) h(I) ⊂ C λ,μ (J); (5) (h(R); a) α,β ⊂ α,β (R), (6) (h(I)b; a) λ,μ = 0, (7) b (W) ⊂ Cλ,μ (V) or γ(W)b ⊂ C λ,μ (V).