Journal of Siberian Federal University. Mathematics & Physics / Almost Inner Derivations of Some Nilpotent Leibniz Algebras

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (6)
Authors
Adashev, Zhobir K.; Kurbanbaev, Tuuelbay K.
Contact information
Adashev, Zhobir K.: Institute of Mathematics of Uzbek Academy of Sciences Tashkent, Uzbekistan; OCRID: 0000-0002-4882-4098; Kurbanbaev, Tuuelbay K.: Karakalpak State University Nukus, Uzbekistan; ; OCRID: 0000-0002-9963-872X
Keywords
Leibniz algebra; derivation; inner derivation; almost inner derivation
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

Pages
733–745
DOI
10.17516/1997-1397-2020-13-6-733-745
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/137561