α-Türevli Asal Halkaların Sağ İdealleri Üzerine Bir Genelleştirme

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

Anahtar Kelimeler:

Asal halka, İdeal, Genelleşirilmiş ?−türev

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

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

Keywords:

Prime ring, Ideal, Generalized α- derivation,

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