Journals / Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi b- Teorik Bilimler / 2019 / Cilt: 7 - Sayı: 2
A GENERALIZED STUDY ON CLOSED LIE IDEALS WITH (𝜶,𝜶) −DERIVATIONS
- Pages
- 195–203
- DOI
- —
Abstract
In this paper, we study square closed Lie ideals of semi-prime rings with generalized (𝛼, 𝛼) − derivations and investigatecommutative properties of square closed Lie ideals under different conditions. Also, we take generalized (𝛼, 𝛼) − derivation𝐻 with determined (𝛼, 𝛼) − derivation ℎ on prime ring and prove that ℎ is 𝛼 − commuting on Lie ideal. Finally, we reach thecorollaries about commutativity of prime rings by using the theorems we prove.