TY - JOUR T1 - On Some Varieties of Soluble Lie Algebras AU - Nan , Jizhu AU - Wang , Chengcheng AU - Li , Hailing JO - Communications in Mathematical Research VL - 1 SP - 10 EP - 16 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19065.html KW - variety, permutation, nilpotent class. AB -

In this paper, we study a class of soluble Lie algebras with variety relations that the commutator of $m$ and $n$ is zero. The aim of the paper is to consider the relationship between the Lie algebra $L$ with the variety relations and the Lie algebra $L$ which satisfies the permutation variety relations for the permutation $φ$ of $\{3, · · · , k\}$.