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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
With this result, some theorems will be extended on the multiplicative generalized derivations of Lie ideals of semiprime rings.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we show that any 𝑈 noncentral square closed Lie ideal of a 2 −torsion free semiprime ring 𝑅 contains a nonzero ideal.
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Key Findings & Data:In this paper, we show that any 𝑈 noncentral square closed Lie ideal of a 2 −torsion free semiprime ring 𝑅 contains a nonzero ideal.
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Conclusion & Impact:With this result, some theorems will be extended on the multiplicative generalized derivations of Lie ideals of semiprime rings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this paper, we show that any 𝑈 noncentral square closed Lie ideal of a 2 −torsion free semiprime ring 𝑅 contains a nonzero ideal. With this result, some theorems will be extended on the multiplicative generalized derivations of Lie ideals of semiprime rings.
Özet
Bu çalışmada, 2 −torsion free bir 𝑅 yarıasal halkasının kare kapalı merkezi olmayan bir 𝑈 Lie idealinin, halkanın sıfırdan farklı bir idealini kapsadığı gösterilecektir. Ayrıca bu sonuçla, yarı asal halkaların Lie ideallerinin çarpımsal genelleştirilmiş türevleri üzerine bazı teoremler genelleştirilecektir.
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Cite This Article
BEDİR, Z., GÖLBAŞI, Ö. (2022). Some Commutativity Theorems on Lie Ideals of Semiprime Rings. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 10 - Sayı: 2, 548–556. https://ajindex.com/articles/428444