Extraction Algorithm of HOM–LIE Algebras Based on Solvable and Nilpotent Groups

Author:

Shaqaqha Shadi1ORCID,Kdaisat Nadeen1

Affiliation:

1. Department of Mathematics, Yarmouk University, Irbid, Jordan

Abstract

Hom–Lie algebras are generalizations of Lie algebras that arise naturally in the study of nonassociative algebraic structures. In this paper, the concepts of solvable and nilpotent Hom–Lie algebras are studied further. In the theory of groups, investigations of the properties of the solvable and nilpotent groups are well-developed. We establish a theory of the solvable and nilpotent Hom–Lie algebras analogous to that of the solvable and nilpotent groups. We also provide examples to illustrate our results and discuss possible directions for further research.Dedicated to Al Farouk School & Kinder garten-Irbid-Jordan

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Reference14 articles.

1. Deformations of Lie algebras using σ-derivations

2. Fuzzy Hom–Lie Ideals of Hom–Lie Algebras

3. More properties of (multiplicative)-Hom-Lie algebras;S. Shaqaqha,2023

4. Restricted hom-lie superalgebras;S. Shaqaqha;Jordan Journal of Mathematics and Statistics (JJMS),2019

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Extraction Algorithm of HOM–LIE Algebras Based on Solvable and Nilpotent Groups;International Journal of Mathematics and Mathematical Sciences;2023-12-01

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