Local and 2-local 1/2-derivation on naturally graded non-Lie p-filiform algebras

Baxtiyor  Yusupov

doi:10.13069/jacodesmath.v12i3.327

Baxtiyor Yusupov Uzbekistan Academy of Sciences

DOI: https://doi.org/10.13069/jacodesmath.v12i3.327

Keywords: Leibniz algebra, p-filiform Leibniz algebras, 1/2-derivations, local 1/2-derivations, 2-local 1/2-derivations

Abstract

This paper is devoted to study local and 2-local 1/2-derivation on p-filiform Leibniz algebras. We prove that p-filiform Leibniz algebras as a rule admit local(2-local) 1/2-derivations which are not 1/2-derivations.