论文标题

霍姆·霍姆·霍姆·霍姆·洛(Hom-Lie)的理想

Fuzzy Hom-Lie Ideals of Hom-Lie Algebras

论文作者

Shaqaqha, Shadi

论文摘要

在本文中,我们介绍了Hom-lie代数的模糊Hom-Lie子代理(理想)的概念,并研究了它们的一些特性。我们研究模糊的hom-lie subselgebras(分别理想)和hom-lie subselgebras(分别理想)之间的关系。对于有限数量的模糊hom-lie sublgebras,我们直接构建了一个新的模糊hom-lie subergebras。最后,研究了模糊的hom-lie subergebras和模糊的hom-hom-lie理想的特性。

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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