Fuzzy Hom-Lie Ideals of Hom-Lie Algebras

被引：7

作者：

Shaqaqha, Shadi ^{[1
]}

机构：

[1] Yarmouk Univ, Dept Math, Shafiq Irshidat St, Irbid 21163, Jordan

来源：

AXIOMS | 2023年 / 12卷 / 07期

关键词：

Hom-Lie algebras; morphism of Hom-Lie algebras; direct sum; fuzzy set; fuzzy Hom-Lie subalgebra; fuzzy Hom-Lie ideal; SET; DEFORMATIONS;

D O I：

10.3390/axioms12070630

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the given study, we intended to gain familiarity with the idea of fuzzy Hom-Lie subalgebras (ideals) of Hom-Lie algebras. It primarily seeks to study a few of their properties. This research investigates the relationship between fuzzy Hom-Lie subalgebras (ideals) and Hom-Lie subalgebras (ideals). Additionally, this study constructs new fuzzy Hom-Lie subalgebras based on the direct sum of a finite number of existing ones. Finally, the properties of fuzzy Hom-Lie subalgebras and fuzzy Hom-Lie ideals are examined in the context of the morphisms of Hom-Lie algebras.

引用

页数：12

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