Yarıasal Halkaların Lie İdealleri Üzerinde Bazı Değişmelilik Teoremleri

Year 2020, Volume: 10 Issue: 2, 548 - 556, 30.12.2020

Zeliha Bedir Öznur Gölbaşı

https://doi.org/10.37094/adyujsci.638265

Abstract

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.

Keywords

Yarıasal halka, Lie ideal, Çarpımsal genelleştirilmiş türev

Some Commutativity Theorems on Lie Ideals of Semiprime Rings

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.

Keywords

semiprime ring, Lie ideal, multiplicative generalized derivation

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