Almost inner derivations of finite-dimensional simple Leibniz algebras

• Date: 2026
• Main Author: Kurbanbaev, Tuuelbay
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8997
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 We study almost inner derivations of finite-dimensional simple Leibniz algebras. First, we examine almost inner derivations of the simple Leibniz algebra $\mathfrak{sl}_2\ltimes\mathcal{I}$  and prove that every  derivation of this kind is inner. Furthermore, we analyze almost inner deriva...