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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 4, Pages 457–474 (Mi jsfu1094)  

Almost inner derivations of some Leibniz algebras

Tuuelbay K. Kurbanbaevab

a I. Romanovskiy Institute of Mathematics Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
b Karakalpak State University, Nukus, Uzbekistan
References:
Abstract: 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, solvable algebra, nilradical, thin Lie algebra, thin Leibniz algebra, derivation, inner derivation, almost inner derivation.
Received: 10.01.2023
Received in revised form: 04.02.2023
Accepted: 20.04.2023
Bibliographic databases:
Document Type: Article
UDC: 512.554.38
Language: English
Citation: Tuuelbay K. Kurbanbaev, “Almost inner derivations of some Leibniz algebras”, J. Sib. Fed. Univ. Math. Phys., 16:4 (2023), 457–474
Citation in format AMSBIB
\Bibitem{Kur23}
\by Tuuelbay~K.~Kurbanbaev
\paper Almost inner derivations of some Leibniz algebras
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 4
\pages 457--474
\mathnet{http://mi.mathnet.ru/jsfu1094}
\edn{https://elibrary.ru/KGFQAW}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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