In this paper we also study the situations. 1 ah R b ⊂ Cλ,µ R 2 bh I, a σ,τ = 0 or h I, a σ,τ b = 0, 3 bh I ⊂ Cλ,µ W or h I b ⊂ Cλ,µ W , 4 h I ⊂ Cλ,µ J , 5 h R , a α,β ⊂ Cα,β R , 6 h I b, a λ,µ = 0, 7 bγ W ⊂ Cλ,µ V or γ W b ⊂ Cλ,µ V .
📌 3 Key Takeaways
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Objective & Hypothesis:Let R be a prime ring with characteristic not 2 and σ, τ, α, β, λ, µ, γ automorphisms of R.
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Key Findings & Data:Let h : R −→ R be a nonzero left resp. right - generalized α, β − derivation associated with α, β − derivation d1 resp. d .
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Conclusion & Impact:In this paper we also study the situations. 1 ah R b ⊂ Cλ,µ R 2 bh I, a σ,τ = 0 or h I, a σ,τ b = 0, 3 bh I ⊂ Cλ,µ W or h I b ⊂ Cλ,µ W , 4 h I ⊂ Cλ,µ J , 5 h R , a α,β ⊂ Cα,β R , 6 h I b, a λ,µ = 0, 7 bγ W ⊂ Cλ,µ V or γ W b ⊂ Cλ,µ V .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Prime ring · generalized derivation · - Jordan Ideal.
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 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 ⊂ Cλ,µ R 2 bh I, a σ,τ = 0 or h I, a σ,τ b = 0, 3 bh I ⊂ Cλ,µ W or h I b ⊂ Cλ,µ W , 4 h I ⊂ Cλ,µ J , 5 h R , a α,β ⊂ Cα,β R , 6 h I b, a λ,µ = 0, 7 bγ W ⊂ Cλ,µ V or γ W b ⊂ Cλ,µ V .
GÜVEN, E. (2019). SOME RESULTS ON LEFT - JORDAN IDEALS AND ONE SIDED GENERALIZED DERIVATIONS. TWMS Journal of Applied and Engineering Mathematics, Cilt: 9 - Sayı: 1, 22–29. https://ajindex.com/articles/846349