Almost inner derivations of some nilpotent Leibniz algebras
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 6, pp. 733-745

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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.
@article{JSFU_2020_13_6_a6,
     author = {Zhobir K. Adashev and Tuuelbay K. Kurbanbaev},
     title = {Almost inner derivations of some nilpotent {Leibniz} algebras},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {733--745},
     publisher = {mathdoc},
     volume = {13},
     number = {6},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2020_13_6_a6/}
}
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Zhobir K. Adashev; Tuuelbay K. Kurbanbaev. Almost inner derivations of some nilpotent Leibniz algebras. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 6, pp. 733-745. http://geodesic.mathdoc.fr/item/JSFU_2020_13_6_a6/