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Local and 2-local automorphisms of some solvable Leibniz algebras (2105.09001v1)
Published 19 May 2021 in math.RA
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.