Mathematica Eterna
Open Access

Abstract

n-Lie algebras with idempotent derivations

BAI Ruipu, GAO Yansha and ZHANG Yinghua

The identities on idempotent derivations of n-Lie algebras are provided, and the structure of n-Lie algebras which have idempotent derivations is discussed. The method of constructing n-Lie algebras which with idempotent derivations by n-Lie algebras and modules over the complex field is introduced.