Fuzzy Hom–Lie Ideals of Hom–Lie Algebras-Reference-Cited by-同舟云学术

Fuzzy Hom–Lie Ideals of Hom–Lie Algebras

Published:2023-06-26 Issue:7 Volume:12 Page:630
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Shaqaqha Shadi¹^ORCID

Affiliation:

1. Department of Mathematics, Yarmouk University, Shafiq Irshidat Street, Irbid 21163, Jordan

Abstract

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/7/630/pdf

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