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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In the present paper it is shown that if d2(U) = (0), then U ⊆ Z.
📌 3 Key Takeaways
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Objective & Hypothesis:Let R be a ∗−prime ring with characteristic not 2, U be a nonzero ∗−(σ,τ)−Lie ideal of R and d be a nonzero derivation of R.
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Key Findings & Data:Suppose σ,τ be two automorphisms of R such that σd = dσ,τd = dτ and ∗ commutes with σ,τ,d.
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Conclusion & Impact:In the present paper it is shown that if d2(U) = (0), then U ⊆ Z.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Let R be a ∗−prime ring with characteristic not 2, U be a nonzero ∗−(σ,τ)−Lie ideal of R and d be a nonzero derivation of R. Suppose σ,τ be two automorphisms of R such that σd = dσ,τd = dτ and ∗ commutes with σ,τ,d. In the present paper it is shown that if d2(U) = (0), then U ⊆ Z.
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Cite This Article
GÖLBAŞI, Ö., AYDIN, N., KOÇ, E. (2022). On ∗-(σ,τ)-Lie ideals of ∗-prime rings with derivation. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1240–1247. https://ajindex.com/articles/529834