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/}
}
TY - JOUR AU - Zhobir K. Adashev AU - Tuuelbay K. Kurbanbaev TI - Almost inner derivations of some nilpotent Leibniz algebras JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2020 SP - 733 EP - 745 VL - 13 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2020_13_6_a6/ LA - en ID - JSFU_2020_13_6_a6 ER -
%0 Journal Article %A Zhobir K. Adashev %A Tuuelbay K. Kurbanbaev %T Almost inner derivations of some nilpotent Leibniz algebras %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2020 %P 733-745 %V 13 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2020_13_6_a6/ %G en %F JSFU_2020_13_6_a6
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/