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arXiv · 2210.08932

Fuzzy Hom-Lie Ideals of Hom-Lie Algebras

Shadi Shaqaqha
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Abstract

In this paper, we introduce the concept of fuzzy Hom-Lie subalgebras (ideals) of Hom-Lie algebras and we investigate some of their properties. We study the relationship between fuzzy Hom-Lie subalgebras (resp. ideals) and Hom-Lie subalgebras (resp. ideals). For a finite number of fuzzy Hom-Lie subalgebras, we construct a new fuzzy hom-Lie subalgebras on their direct sum. Finally, The properties of fuzzy Hom-Lie subalgebras and fuzzy Hom-Lie ideals under morphisms of Hom-Lie algebras are studied.

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BibTeXRIS

Shadi Shaqaqha. 2022-10-17. Fuzzy Hom-Lie Ideals of Hom-Lie Algebras. https://arxiv.org/abs/2210.08932

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