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

J. Sib. Fed. Univ. Math. Phys., 2020 Volume 13, Issue 6, Pages 733–745 (Mi jsfu877)

This article is cited in 1 paper

Almost inner derivations of some nilpotent Leibniz algebras

Zhobir K. Adasheva, Tuuelbay K. Kurbanbaevb

a Institute of Mathematics of Uzbek Academy of Sciences, Tashkent, Uzbekistan
b Karakalpak State University, Nukus, Uzbekistan

Abstract: We investigate almost inner derivations of some finite-dimensional nilpotent Leibniz algebras. We show the existence of almost inner derivations of Leibniz filiform non-Lie algebras differing from inner derivations, we also show that the almost inner derivations of some filiform Leibniz algebras containing filiform Lie algebras do not coincide with inner derivations.

Keywords: Leibniz algebra, derivation, inner derivation, almost inner derivation.

UDC: 512.554.38

Received: 06.07.2020
Received in revised form: 08.08.2020
Accepted: 16.10.2020

Language: English

DOI: 10.17516/1997-1397-2020-13-6-733--745



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