Document Type : Original Article

Author

• Nil Mansuroğlu

Kırşehir Ahi Evran University

Abstract

This study aims to investigate the low dimensional complex Leibniz algebras which admit a periodic
derivation. The principal goal of this note is to characterize such algebras and to develope some properties
on periodic derivations. We demonstrate that finite dimensional complex Leibniz algebras admitting a
periodic derivation are abelian or at most 2-class nilpotent. Moreover, we prove that the order of a
periodic derivation in such algebras is divided by 6.

Keywords

• Leibniz algebras
• derivations
• periodic derivations

Main Subjects

• Lie algebras (MSC 17B, 17C)