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arXiv · 2105.09001

Local and 2-local automorphisms of some solvable Leibniz algebras

F. N. Arzikulov·I. A. Karimjanov·S. M. Umrzaqov
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Abstract

In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms.

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F. N. Arzikulov, I. A. Karimjanov, S. M. Umrzaqov. 2021-05-19. Local and 2-local automorphisms of some solvable Leibniz algebras. https://doi.org/10.1016/j.geomphys.2022.104573

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