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.
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页数：12
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