Local Derivations and Automorphisms of Direct Sum Null-Filiform Leibniz Algebras

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

“…J.Adashev and B.Yusupov proved proved that direct sum null-filiform nilpotent Leibniz algebras as a rule admit local derivations which are not derivations [3]. J.Adashev and B.Yusupov proved that quasi-filiform Leibniz algebras of type I, as a rule, admit local automorphisms which are not automorphisms [4]. The first example of a simple (ternary) algebra with nontrivial local derivations is constructed by B.Ferreira, I.Kaygorodov and K.Kudaybergenov in [16].…”