Local and 2-local automorphisms of some solvable Leibniz algebras

Local and 2-Local Derivations of p-Filiform Leibniz Algebras

“…The results of the paper [11] show that p-filiform Leibniz algebras as a rule admit local derivations which are not derivations. The authors proved similar results concerning 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 [5]. J.Adashev and B.Yusupov proved similar results concerning local derivations of naturally graded quasi-filiform Leibniz algebras in their recent paper [2].…”

“…In the paper [20], I.A.Karimjanov, S.M.Umrzaqov, and B.B.Yusupov describe automorphisms, local and 2-local automorphisms of solvable Leibniz algebras with a model or abelian null-radicals. They show that any local automorphisms on solvable Leibniz algebras with a model nilradical, the dimension of the complementary space of which is maximal, is an automorphism.…”