Local Derivations and Automorphisms of Direct Sum Null-Filiform Leibniz Algebras
J. Q. AdashevRomanovskii Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, UzbekistanBakhtiyor YusupovRomanovskii Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, Uzbekistan
ABI
Abstract
This paper is devoted to study local derivations and automorphism of some nilpotent Leibniz algebras. We prove that direct sum null-filiform nilpotent Leibniz algebras as a rule admit local derivations which are not derivations. Some results concerning local automorphisms direct sum null-filiform nilpotent Leibniz algebras are obtained.