What question did this study set out to answer?

The aim is to explore low dimensional complex Leibniz algebras with periodic derivations and characterize their properties.

April 13, 2026Open Access

On the condition of the order of a periodic derivation in low dimensional complex Leibniz algebras

Key Points

The aim is to explore low dimensional complex Leibniz algebras with periodic derivations and characterize their properties.
Investigation of finite dimensional complex Leibniz algebras
Characterization of periodic derivations
Mathematical proofs regarding algebraic structure
Finite dimensional complex Leibniz algebras with periodic derivations are discovered to be abelian or at most 2-class nilpotent.
The order of a periodic derivation in these algebras is divisible by 6.

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.

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Authors

Nil Mansuroğlu

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Ahi Evran University

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On the condition of the order of a periodic derivation in low dimensional complex Leibniz algebras

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Abstract

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Discussion

Authors

Actions

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References and Citations

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