Hyper-commuting generalized derivations acting on Lie ideals in prime rings

• Date: 2026
• Main Authors: Dhara, B., Tammam El-Sayiad, M. S.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9547
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.552 Let $\mathscr{R}$ be a prime ring with its Utumi ring of quotients $\mathscr{U}$ and extended centroid $\mathcal{C}.$ Also let $n\geq 1$ be a fixed integer and let ${\rm char}(\mathscr{R})\neq 2.$ Suppose that $\mathscr{F}, \mathcal{G},$ and $\mathscr{H}$ are three generalized derivation...