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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 4, Pages 457–474
(Mi jsfu1094)
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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
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
Citation:
Tuuelbay K. Kurbanbaev, “Almost inner derivations of some Leibniz algebras”, J. Sib. Fed. Univ. Math. Phys., 16:4 (2023), 457–474
Linking options:
https://www.mathnet.ru/eng/jsfu1094 https://www.mathnet.ru/eng/jsfu/v16/i4/p457
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Abstract page: | 78 | Full-text PDF : | 40 | References: | 24 |
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