@article{Zhao2026, 
author = {Rui Zhao and Wenlong Song and Ying Hou},
title = {(  σ  ,  σ  )-   n-derivations of 3-Lie algebras},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {7},
pages = {4448-4460},
keywords = {3-Lie algebra, automorphism, (σ, σ)-n-derivation, matrix representation},
url = {https://www.sciopen.com/article/10.3934/era.2026196},
doi = {10.3934/era.2026196},
abstract = {In this paper, drawing on the classical theory of skew    n-derivations on prime and semiprime rings, we generalize the concept of    (  σ  ,  σ  )-derivations to the framework of 3-Lie algebras and introduce the notion of    (  σ  ,  σ  )-   n-derivations. Subsequently, several fundamental properties of    (  σ  ,  σ  )-   n-derivations on 3-Lie algebras are established. Furthermore, we prove that the    (  σ  ,  σ  )-derivation space of any non-abelian 3-dimensional 3-Lie algebra is 6-dimensional, providing a precise dimensional characterization for the low-dimensional case.}
}