✨
Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Also, we investigate some conditions on ideals of Γ-ring that make M to be commutative.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:In this paper we observe the relation between the center of R-ring R and the center of usual ring R and then prove if the center of R-ring R is nonzero, then R is commutative as a ring.
📊
Temel Bulgular & Veri:We also show that the common hypothesisaαbβc = aβbαc for all a, b, c ∈ M and α, β ∈ Γfor a weak Nobusawa Γ-ring M is sufficent for M to be commutative.
💡
Sonuç & Katkı:Also, we investigate some conditions on ideals of Γ-ring that make M to be commutative.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
Let R be any ring. In this paper we observe the relation between the center of R-ring R and the center of usual ring R and then prove if the center of R-ring R is nonzero, then R is commutative as a ring. We also show that the common hypothesisaαbβc = aβbαc for all a, b, c ∈ M and α, β ∈ Γfor a weak Nobusawa Γ-ring M is sufficent for M to be commutative. Also, we investigate some conditions on ideals of Γ-ring that make M to be commutative.
🔖
Bu Makaleye Atıf Yap
KANDAMAR, H., ARSLAN, O. (2022). On the commutativity conditions for rings and Γ-rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 5, 1660–1666. https://ajindex.com/articles/529638