✨
Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
S?(R) and [d(I), a]and h commute with ?.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:Let R be a ?-prime ring with characteristic not 2, Z(R) be the center ofR, I be a nonzero ?-ideal of R, ?, ? : R -> R be two automorphisms, dbe a nonzero (?, ?)-derivation of R and h be a nonzero derivation of R.In the present paper, it is shown that (i) If d (I) ?
📊
Temel Bulgular & Veri:C?,?and ? commuteswith ? then R is commutative. (ii) Let ? and ? commute with ?.
💡
Sonuç & Katkı:S?(R) and [d(I), a]and h commute with ?.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
Let R be a ?-prime ring with characteristic not 2, Z(R) be the center ofR, I be a nonzero ?-ideal of R, ?, ? : R -> R be two automorphisms, dbe a nonzero (?, ?)-derivation of R and h be a nonzero derivation of R.In the present paper, it is shown that (i) If d (I) ? C?,?and ? commuteswith ? then R is commutative. (ii) Let ? and ? commute with ?. Ifa ? I ? S?(R) and [d(I), a]and h commute with ?. If dh (I) ? C?,?and h (I) ? I then R is? C commutative.
🔖
Bu Makaleye Atıf Yap
AYDIN, N., TÜRKMEN, S. (2022). Some results on ?-ideal of ?-prime ring. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 5, 1147–1156. https://ajindex.com/articles/530249