@article{Sheng2025, 
author = {Yuqiu Sheng and Jixia Yuan},
title = {Non-associative and non-commutative Poisson structures on Filiform Lie algebras},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {7},
pages = {16460-16476},
keywords = {Poisson algebra, filiform Lie algebra, commutative algebra, associative algebra},
url = {https://www.sciopen.com/article/10.3934/math.2025737},
doi = {10.3934/math.2025737},
abstract = {In this paper, we study the non-associative and non-commutative Poisson structures on filiform Lie algebras        L    n   and        Q          2      m       and then characterize the commutative and associative Poisson structures on        L    n   and        Q          2      m      . Besides, we discuss the relationships between some non-associative algebras.}
}