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Journal of Siberian Federal University. Mathematics & Physics, 2020, Volume 13, Issue 6, Pages 733–745
DOI: https://doi.org/10.17516/1997-1397-2020-13-6-733--745 (Mi jsfu877) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.17516/1997-1397-2020-13-6-733--745
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.
Received: 06.07.2020
Received in revised form: 08.08.2020
Accepted: 16.10.2020
Document Type: Article
UDC: 512.554.38
Language: English
Citation: Zhobir K. Adashev, Tuuelbay K. Kurbanbaev, “Almost inner derivations of some nilpotent Leibniz algebras”, J. Sib. Fed. Univ. Math. Phys., 13:6 (2020), 733–745
Citation in format AMSBIB
\Bibitem{AdaKur20}
\by Zhobir~K.~Adashev, Tuuelbay~K.~Kurbanbaev
\paper Almost inner derivations of some nilpotent Leibniz algebras
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 6
\pages 733--745
\mathnet{http://mi.mathnet.ru/jsfu877}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-6-733--745}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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