A Generalization on Right Ideals of Prime Rings with α-Derivations

Year 2019, Volume: 9 Issue: 4, 2190 - 2199, 01.12.2019

Barış Albayrak

https://doi.org/10.21597/jist.531856

Abstract

In this paper, we generalize previous studies on right ideals of prime ring 𝑅 with generalized 𝛼− derivation 𝐷 and show that 𝑅 is commutative under different conditions. Also, we investigate commutative property of prime ring 𝑅 for two generalized 𝛼− derivations 𝐷 and 𝐻.

Keywords

Prime ring, Ideal, Generalized α- derivation

α-Türevli Asal Halkaların Sağ İdealleri Üzerine Bir Genelleştirme

Abstract

Bu makalede, genelleştirilmiş 𝛼− türevli 𝑅 asal halkasının sağ ideallerinde çalışılarak , 𝛼− türevli halkalardaki önceki çalışmalar genelleştirilmiş ve asal halkanın farklı durumlarda değişmeli olduğu gösterilmiştir. Bunlara ek olarak, iki genelleştirilmiş 𝛼− türev 𝐷 ve 𝐻 alınarak asal halkanın değişmelilik koşulları incelenmiştir.

Keywords

Asal halka, İdeal, Genelleşirilmiş 𝛼−türev

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