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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 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

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.

UDC: 512.554.38

Received: 10.01.2023
Received in revised form: 04.02.2023
Accepted: 20.04.2023

Language: English



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