Article

Almost inner derivations of finite-dimensional simple Leibniz algebras

T. K. KurbanbaevKarakalpak State University, Nukus, Uzbekistan, V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

Ukrains’kyi Matematychnyi Zhurnaljournal2025

ABI

Abstract

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 derivations of other simple Leibniz algebras and show that the existence of almost inner derivations that are not inner is possible only in cases other than $\mathfrak{sl}_2.$

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Rings, Modules, and Algebras

Identifiers

DOI: 10.3842/umzh.v77i11.8997

Citations and references

Cited by 00 references

Metrics — AkademScholar · Coming soon