Geodesic
Almost inner derivations of some Leibniz algebras
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 4, pp. 457-474

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The present paper is devoted to almost inner derivations of thin and solvable Leibniz algebras. Namely, we consider a thin Lie algebra, solvable Lie algebra with nilradical natural graded filifform Lie algebra, natural graded thin Leibniz algebra, thin non-Lie Leibniz algebra and solvable Leibniz algebra with nilradical nul-filiform algebra. We prove that any almost inner derivations of all these algebras are inner derivations.
Keywords: Lie algebra, Leibniz algebra, thin Lie algebra, thin Leibniz algebra, derivation, inner derivation, almost inner derivation.
Mots-clés : solvable algebra, nilradical 
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Tuuelbay K. Kurbanbaev. Almost inner derivations of some Leibniz algebras. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 4, pp. 457-474. http://geodesic.mathdoc.fr/item/JSFU_2023_16_4_a4/