Yarıasal Halkaların Lie İdealleri Üzerinde Bazı Değişmelilik Teoremleri

Öz

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.

Anahtar Kelimeler

• Yarıasal halka
• Lie ideal
• Çarpımsal genelleştirilmiş türev

Some Commutativity Theorems on Lie Ideals of Semiprime Rings

Öz

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.

Anahtar Kelimeler

• semiprime ring
• Lie ideal
• multiplicative generalized derivation

Kaynakça

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