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

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  • Shadi Shaqaqha
  • Nadeen Kdaisat
  • Abdul Rauf Khan

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

Suggested Citation

  • Shadi Shaqaqha & Nadeen Kdaisat & Abdul Rauf Khan, 2023. "Extraction Algorithm of HOM–LIE Algebras Based on Solvable and Nilpotent Groups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2023, pages 1-9, November.
    • Handle: RePEc:hin:jijmms:6633715
    DOI: 10.1155/2023/6633715
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